Seminars for Pure Mathematics
Past Events
View Current SemesterDec 5 2024 |
Mauricio Bustamante (Pontif.Universidad Catolica de Chile) |
Exotic tori and actions by SL_d(Z) |
Algebra seminar |
Time: 3:05PM |
Location: Zoom |
One of the most distinctive features of the d-dimensional torus (i.e., the product of d circles) T^d is that it admits an effective smooth action of the group SL_d(Z) of d x d integer matrices with de... More |
Nov 21 2024 |
Christin Bibby (Louisiana State University) |
Supersolvable posets and fiber-type arrangements |
Algebra seminar |
Time: 3:05PM |
Location: 301 |
We present a combinatorial analysis of fiber bundles of generalized configuration spaces on connected abelian Lie groups. These bundles are akin to those of Fadell--Neuwirth for configuration spaces, ... More |
Nov 14 2024 |
Phil Tosteson (UNC Chapel Hill) |
Homology of spaces of curves on blowups |
Algebra seminar |
Time: 3:05PM |
Location: 301 |
Let C be a smooth projective curve and X be a smooth projective variety. We will consider the space of degree d algebraic maps from C to X. When X is a projective space, Segal discovered an inter... More |
Nov 12 2024 |
Brandon Doherty (FSU) |
Comparison of cubical sets with and without symmetries |
Geometry and Topology Seminar |
Time: 3:05 |
Location: 301 |
We discuss an adjoint triple of functors which defines a comparison between categories of cubical sets on which model structures for (infinity,1)-categories have been established, and cubical sets hav... More |
Nov 7 2024 |
Ishan Banerjee (Ohio State University) |
Monodromy and vanishing cycles for curves in an algebraic surface |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
This talk will be about the monodromy group associated to a family of algebraic curves in an algebraic surface as a subgroup of the mapping class group. I will start by surveying some older results in... More |
Nov 5 2024 |
Sam Ballas (FSU) |
Classical and Exotic Dehn Filling |
Geometry and Topology |
Time: 3:05 |
Location: 301 |
Dehn filling is a topological operation where one starts with a 3-manifold, M, with torus boundary and builds a closed manifold by gluing a solid torus to it along their respective boundaries. There a... More |
Oct 31 2024 |
Priyankur Chaudhuri (University of Milan) |
Algebraically integrable foliations and canonical bundle formula |
Algebra seminar |
Time: 3:05PM |
Location: Zoom |
Situations in which the canonical divisor of a smooth projective variety is the pullback of a divisor on a lower dimensional variety, are quite commonplace in higher dimensional algebraic geometry. In... More |
Oct 28 2024 |
Hung-Chun Yu (FSU) |
An Introduction to Algebraic K-Theory |
Candidacy Exam |
Time: 1pm |
Location: 204A |
Oct 24 2024 |
Matteo Costantini (Universität Duisburg-Essen) |
Spaces of flat surfaces |
Algebra seminar |
Time: |
No location for this even specified. |
A non-zero holomorphic one form on a Riemann surface endows it with a flat metric with conical singularities. Such an object is called flat surface. While spaces of flat surfaces with fixed typ... More |
Oct 17 2024 |
Pedro Souza (Goethe-Universität, Frankfurt) |
On the topology of the moduli space of tropical Z/pZ-covers |
Algebra seminar |
Time: 3:05PM |
Location: Zoom |
We study the topology of the moduli space of (unramified) Z/pZ-covers of tropical curves of genus g≥2 where p is a prime number. By recent work of Chan-Galatius-Payne, the (reduced) homology ... More |
Oct 10 2024 |
Akash Sengupta (University of Waterloo) |
Uniform bounds on Sylvester-Gallai type configurations of polynomials |
Algebra seminar |
Time: 3:05 PM |
Location: Zoom |
The classical Sylvester-Gallai theorem says that if a finite set of points in the Euclidean plane has the property that the line joining any two points contains a third point from the set, then all th... More |
Sep 19 2024 |
Soumya Sankar (Utrecht University) |
Relations between Frobenius eigenvalues of abelian varieties over finite fields |
Algebra seminar |
Time: 3:05 |
Location: Zoom |
Elliptic curves over a finite field F_q come in two flavours: ordinary and supersingular. As q varies over powers of a fixed prime p, the eigenvalues of Frobenius of an ordinary elliptic curve are uni... More |
Sep 12 2024 |
Benson Farb (University of Chicago) |
3-dimensional hypersurfaces and intermediate Jacobians |
Algebra seminar |
Time: 3:05 |
Location: Zoom |
Clemens-Griffiths discovered in 1971 a surprising connection between two questions (all terms will be defined in the talk) 1. When is a 3-dimensional hypersurface rational (i.e. ... More |
Sep 5 2024 |
Matthew Winters (FSU) |
Rational torsion and reducibility for abelian varieties associated to newforms |
Algebra seminar |
Time: 3:05PM |
Location: LOV 301 |
Let f be a newform and A its associated abelian variety. We have shown before that for certain primes r, if A is an optimal semistable elliptic curve with reducible torsion subgroup A[r], then A has r... More |
Aug 29 2024 |
Jeremy Usatine (FSU) |
Crepant resolutions via stacks |
Algebra seminar |
Time: 3:05 |
Location: LOV 301 |
Consider an invariant that behaves nicely for smooth varieties, such as Euler number, Betti numbers, or Hodge numbers. Suppose we want a version of this invariant for singular varieties that sees inte... More |
Aug 27 2024 |
General (FSU) |
Organizational meeting |
Geometry and Topology Seminar |
Time: 3:05 |
Location: 301 |
We'll gather speakers and schedules information for our seminar this Fall. All are invited. Information will be updated here: https://sites.google.com/view/fsu-gt-seminar |
Apr 30 2024 |
Safiah Bawazeer |
Simplifying Difference Equations (ATE talk) |
Time: 10:00 |
Location: Zoom |
In this talk I will define the notion of integral elements of a difference module. The reason for introducing this concept is because it can be applied to simplify difference equations. Specifically... More |
Apr 18 2024 |
Heba Bou KaedBey (FSU) |
Solving Third Order Linear Difference Equations in Terms of Second Order Equations |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
Classifying order 3 linear difference operators over C(x) that are solvable in terms of lower order difference operators. In this talk, I will focus on one of the cases of this classification and give... More |
Apr 11 2024 |
Piotr Pstrągowski (Harvard) |
The even filtration |
Algebra Seminar |
Time: 3:05 pm |
Location: ZOOM |
The even filtration, introduced by Hahn-Raksit-Wilson, is a canonical filtration attached to a commutative ring spectrum which measures its failure to be even. Despite its simple definition, the even ... More |
Apr 5 2024 |
Abdullah Malik (FSU) |
Simplicial Methods in Graph Machine Learning |
PhD Defense |
Time: 1:00PM |
Location: Lov 204-A |
The Weisfeiler-Leman algorithm is a powerful test of graph isomorphism, and works by iteratively isolating clusters of nodes via a coloring scheme based on binary relationships. This refinement proces... More |
Apr 4 2024 |
Milind Gunjal (FSU) |
Introduction to Stable Homotopy Theory |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
In this talk, we will observe the phenomenon of stable homotopy groups of spheres, and we will try to generalize it for a bigger setting by defining spectra. We will also discuss some interesting prop... More |
Mar 28 2024 |
Paolo Aluffi (FSU) |
An explicit generating function for the Betti numbers of the moduli space of stable, n-pointed rational curves |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
The variety $\overline\mathcal M_{0,n}$ parametrizes stable rational curves with n marked points. This is a central object in algebraic geometry, as the most studied and best understood moduli<... More |
Mar 21 2024 |
Chris Kapulkin (UWO) |
Calculus of fractions for higher categories |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
A central objective of (abstract) homotopy theory is to understand the localization of a category at a class of weak equivalences. While the localization is always known to exist, it is typically very... More |
Mar 7 2024 |
Brandon Story (FSU) |
Multidegrees of Monomial Cremona Transformations |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
Multidegrees are an important sequence of natural numbers associated to a rational map of projective schemes that are closely related to Segre classes. In this talk, we will discuss how one may comput... More |
Feb 29 2024 |
Maxime Ramzi (University of Copenhagen) |
From Hochschild homology to traces and back |
Algebra Seminar |
Time: 3:05 pm |
Location: ZOOM |
Traces in symmetric monoidal categories are a generalization of the trace of a matrix, and they enjoy a number of pleasant properties reminiscent of the usual trace, such as cyclic invariance. In this... More |
Feb 22 2024 |
Marcus Lawson (FSU) |
Global p-Curvatures of Linear Recurrence Operators |
Algebra Seminar/Candidacy Exam |
Time: 3:05 pm |
Location: LOV 107 |
Linear Recurrence Operators appear as objects of interest in the study differential equations, number theory, QFT and a variety of other areas. One property that we may look at is the p-Curvature. If... More |
Feb 8 2024 |
Franquiz Caraballo Alba (FSU) |
Chern-Schwartz-MacPherson classes |
Algebra Seminar |
Time: 3:05 pm |
Location: LOV 107 |
The Chern-Schwartz-MacPherson (csm) class of a variety X is a generalization of the Chern class of the tangent bundle of X when X is possibly singular. In this talk, we will develop the intuition behi... More |
Feb 1 2024 |
Franquiz Caraballo-Alba (FSU) |
Matroids: from Linear Independence to Hyperplane Arrangements |
Algebra Seminar |
Time: 3:05 PM |
Location: LOV 0107 |
Matroids are a combinatorial object generalizing the concept of linear independence in sets of vectors. In this talk we will develop the definition of a matroid, using the study of linearly independen... More |
Jan 25 2024 |
Brandon Doherty (FSU) |
Cofibration category of directed graphs for path homology |
Algebra Seminar |
Time: 3:05 |
Location: LOV 0107 |
Cofibration categories are categories equipped with designated classes of morphisms, called cofibrations and weak equivalences, satisfying certain properties which allow for the convenient constructio... More |
Jan 18 2024 |
Organizational meeting |
Algebra seminar |
Time: 3:05 PM |
Location: LOV 0107 |
Dec 8 2023 |
Arash Karimi (FSU) |
Algebraic theories in infinity categories |
Candidacy Exam |
Time: 11am |
Location: LOV 305 |
Dec 7 2023 |
Milind Gunjal (FSU) |
Group Cohomology with Values in a Picard Category |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
We will define the cohomology with values in a Picard category, and we will see its application to symmetric monoidal bi-categories followed by a use of biextensions to study the cohomology groups. |
Dec 5 2023 |
Homin Lee (Northwestern) |
Smooth actions on manifold by higher rank lattices |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 231 |
We will discuss about smooth actions on manifolds by higher rank groups, such as lattices in SL(n,R) with n ≥ 3 or Z^k with k ≥ 2. The higher rank property of the acting group sugge... More |
Nov 30 2023 |
Amod Agashe (FSU) |
Background on modular forms and Hecke operators |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
In this expository lecture, we will recall the definition of modular forms, go over some properties of L-functions (e.g., analytic continuation), define Hecke operators, and use them in some construct... More |
Nov 16 2023 |
Sam Payne (University of Texas at Austin) |
Motivic structures in the cohomology of moduli spaces of curves |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
Cohomology groups of moduli spaces of algebraic curves consist of characteristic classes for surface bundles and appear in many disparate areas of mathematics, from low-dimensional topology to algebra... More |
Nov 14 2023 |
Jared Miller (FSU) |
Exploring Infinite Type Surfaces |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 231 |
A surface is said to be of finite type if its fundamental group is finitely generated; otherwise we say it is of infinite type. Infinite type surfaces are, in a sense, much more mysterious than finite... More |
Nov 9 2023 |
Jeremy Usatine (FSU) |
Motivic integration for Artin stacks |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
A standard method for studying a singular variety is to resolve it by a smooth variety and to then relate invariants of the singular variety to invariants of the smooth one. Motivic integration provid... More |
Nov 7 2023 |
Jonathan DeWitt (University of Maryland) |
Periodic data rigidity of Anosov diffeomorphisms |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 231 |
Anosov diffeomorphisms are a class of dynamical systems that exhibit strong chaotic behavior. Every known Anosov diffeomorphism is topologically conjugate to a linear Anosov diffeomorphism, called an ... More |
Nov 2 2023 |
Carlos di Fiore (University of Buenos Aires) |
A short story on cohomological operations, cotangent bundles and non-commutative geometry |
Algebra seminar |
Time: 3:05pm |
Location: Zoom or 106 Love |
In this talk we will give non-commutative generalizations of some classical facts about cohomological operations on the derived category of a hypersurface: finite generations of Ext groups, nilpotent ... More |
Oct 31 2023 |
Florian Stecker (FSU) |
Spherical homogeneous spaces and Anosov representations acting on them |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: Zoom |
We'll look at the double quotient B\G/H, where G is a semisimple Lie group, B a minimal parabolic subgroup, and H any closed subgroup which makes the double quotient finite. Then consider certain disc... More |
Oct 26 2023 |
Matthew Winters (FSU) |
Reducibility and rational torsion in elliptic curves II |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
This is the second and last part of a series with the following abstract: Let A be an optimal semistable elliptic curve over the rational numbers and r be a prime such that A has good reduction at r. ... More |
Oct 24 2023 |
Ronno Das (Stockholm University) |
Hypersurfaces and inclusion-exclusion |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: Zoom |
A generic homogeneous polynomial defines a smooth hypersurface in projective space. Generalizing results of Tommasi and others, we establish homological stability for the space of such smooth polynomi... More |
Oct 19 2023 |
Amod Agashe (FSU) |
Background on modular forms and elliptic curves |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
We will give some background on modular forms and elliptic curves that is relevant to Matthew Winters's talks. In particular, we will talk about modular curves, their Jacobians, etc., and time permitt... More |
Oct 17 2023 |
Pierre-Louis Blayac (University of Michigan) |
Divisible convex sets with properly embedded cones |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0231 |
A divisible convex set is a convex, bounded, and open subset of an affine chart of the real projective space, on which acts cocompactly a discrete group of projective transformations. These objects ha... More |
Oct 12 2023 |
Matthew Winters (FSU) |
Reducibility and rational torsion in elliptic curves |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
Let A be an optimal semistable elliptic curve over the rational numbers and r be a prime such that A has good reduction at r. In a previous talk, we indicated how to show that if r is greater than thr... More |
Oct 10 2023 |
Mario Gómez Flores (FSU) |
Curvature sets: the spaces of distance matrices of subsets of S^1 |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0231 |
For $n \geq 2$, the $n$-th curvature set $K_n(X)$ of a metric space $X$ is the set of all $n$-by-$n$ distance matrices of points sampled from $X$. We study the topological and geometric structures of ... More |
Oct 5 2023 |
Oishee Banerjee (FSU) |
Geometric Manin’s conjecture for toric varieties |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
Manin’s conjecture is about the asymptotics of the number of points on a (Fano) variety of a bounded height over a global field. In this we talk we focus on (a) when the variety is a (complete, simp... More |
Oct 3 2023 |
Brandon Doherty (FSU) |
Cubical models of higher categories without connections. Part II |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0231 |
We will discuss the cubical Joyal model structures on the categories of cubical sets both with and without connections, by which cubical sets model the theory of (infinity,1)-categories, and the proof... More |
Sep 28 2023 |
Jaydeep Chipalkatti (University of Manitoba) |
Enumerative Geometry of Pascal’s Theorem |
Algebra seminar |
Time: 3:05pm |
Location: Zoom or 106 |
Given six points A, B, C, D, E, F on a nonsingular conic in the complex projective plane, Pascal’s theorem says that the three intersection points AE∩BF, BD∩CE, AD∩CF are collinear. The line c... More |
Sep 26 2023 |
Brandon Doherty (FSU) |
Cubical models of higher categories without connections |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0231 |
We will discuss the cubical Joyal model structures on the categories of cubical sets both with and without connections, by which cubical sets model the theory of (infinity,1)-categories, and the proof... More |
Sep 21 2023 |
Ettore Aldrovandi (FSU) |
Determinant functors and rings up to homotopy II |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
Determinant functors map a category with a notion of exact sequence to the 1-type of its K-Theory, in such a way that the exact sequence in the former corresponds to the tensor p... More |
Sep 19 2023 |
Sam Ballas (FSU) |
Frame theory on vector bundles |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0231 |
Vector valued information can be transmitted by describing the coordinates of vectors in a fixed basis, however this method of transmission is not very robust since corruption of a single coordinate c... More |
Sep 14 2023 |
Ettore Aldrovandi (FSU) |
Determinant functors and rings up to homotopy |
Algebra seminar |
Time: 3:05pm |
Location: 106 |
Determinant functors map a category with a notion of exact sequence to the 1-type of its K-Theory, in such a way that the exact sequence in the former corresponds to the tensor p... More |
Sep 12 2023 |
Sam Ballas (FSU) |
Frame theory on vector bundles |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0105 |
Vector valued information can be transmitted by describing the coordinates of vectors in a fixed basis, however this method of transmission is not very robust since corruption of a single coordinate c... More |
Sep 5 2023 |
Organizational Meeting |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0105 |
Aug 29 2023 |
Organizational Meeting |
Topology/Geometry Seminar |
Time: 3:05 PM |
Location: LOV 0105 |
Apr 27 2023 |
Ettore Aldrovandi (FSU) |
Topological Hochschild Homology, Mac Lane Homology, stable K -Theory, and the homology of rings |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
This is an expository talk (mostly). It has been known for a long time that K-Theory of a ring has trace maps towards its Hochschild homology. In the last decade or so of the last century these maps w... More |
Apr 20 2023 |
Cindy Lester (FSU) |
Multi-Determinant Functors for Triangulated Categories |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
I will discuss current work that extends the notion of determinant functor from triangulated categories to tensor triangulated categories. Specifically, I will discuss some background, motivation and,... More |
Apr 13 2023 |
Cindy Lester (FSU) |
Generalizing the determinant |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
I will discuss a categorification and generalization of the determinant. Specifically, we will start with the determinant of a matrix from undergraduate linear algebra and discuss how it became a func... More |
Apr 6 2023 |
Milind Gunjal (FSU) |
Homotopy theory of Model categories |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
The talk is based on a paper by W. G. Dwyer and J. Spalinski. In this talk, I define Model categories, see some examples, then I define homotopy category of Model categories in a couple of ways and se... More |
Mar 23 2023 |
Matthew Winters (FSU) |
Reducibility and rational torsion in elliptic curves (Part 2) |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
Let A be a semistable elliptic curve over the rational numbers which is optimal, and r be a prime greater than three such that A has good reduction at r. We show that if A[r] is reducible, then A has ... More |
Mar 9 2023 |
Matthew Winters (FSU) |
Reducibility and rational torsion in elliptic curves |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
Let A be a semistable elliptic curve over the rational numbers which is optimal, and r be a prime greater than three such that A has good reduction at r. We show that if A[r] is reducible, then A has ... More |
Feb 23 2023 |
Brandon Story (FSU) |
Lorentzian Properties of the Cremona Transformation Segre Zeta Functions |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
A discussion on the relationship between standard and determinantal Cremona transformations and their Segre Zeta function. We will show that the homogenization of the numerator of the Segre Zeta funct... More |
Feb 16 2023 |
Reese Madsen (FSU) |
Quotients of products of upper half planes by certain groups |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
We will show why the quotient of the product of n upper half planes by a torsion-free discrete subgroup of SL(2,R)^n is a manifold and why the space of forms on the quotient manifold is isomorphic to ... More |
Feb 9 2023 |
Mark van Hoeij (FSU) |
Generating Function of the Squares of Legendre Polynomials |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
here are a number of classical formulas for the generating functions of sequences defined with Legendre polynomials, but one case had eluded a closed form formula, namely for the sequence $\binom{2n}{... More |
Jan 26 2023 |
Ettore Aldrovandi (FSU) |
Computer based formalization of Group Theory and Categorical Algebra in Homotopy Type Theory (Part II) |
Algebra and its Applications |
Time: 3:05 pm |
Location: 0102 LOV |
I describe some work in progress in collaboration with Keri D’angelo (Cornell — CS) to formalize crossed modules of groups, hence groups, in Homotopy Type Theory using the Agda proof assistant. No... More |
Jan 19 2023 |
Ettore Aldrovandi (FSU) |
Computer based formalization of Group Theory and Categorical Algebra in Homotopy Type Theory |
Algebra and its Applications |
Time: 3:05 pm |
Location: LOV 0105 |
I describe some work in progress in collaboration with Keri D’angelo (Cornell — CS) to formalize crossed modules of groups, hence groups, in Homotopy Type Theory using the Agda proof assistant. No... More |
Oct 27 2022 |
Keri D’Angelo (Cornell (CS)) |
A Coalgebraic Approach to Reduction of Automata |
Algebra seminar |
Time: 3:05pm |
Location: Zoom |
Automata are useful in the study of computation and ubiquitous in computer science. A major question that arises in this field is whether an automaton can be reduced and act the same way as the origin... More |
Oct 20 2022 |
Paolo Aluffi (FSU ) |
Numerators of Segre zeta functions and Lorentzian polynomials II |
Algebra seminar |
Time: 3:05pm |
Location: 330 |
The Segre class is an invariant capturing essential intersection-theoretic information concerning embeddings of e.g., subvarieties of an algebraic variety. Every homogeneous ideal of a p... More |
Oct 13 2022 |
Paolo Aluffi (FSU ) |
Numerators of Segre zeta functions and Lorentzian polynomials I |
Algebra seminar |
Time: 3:05pm |
Location: 330 |
The Segre class is an invariant capturing essential intersection-theoretic information concerning embeddings of e.g., subvarieties of an algebraic variety. Every homogeneous ideal of a p... More |
Oct 6 2022 |
Fields medalist June Huh’s talk at the 2022 ICM |
Algebra seminar |
Time: 3:05pm |
Location: 330 |
We will watch June Huh’s ICM talk, titled "Combinatorial applications of the Hodge–Riemann relations”. The abstract of this talk is "Why do natural and interesting sequence... More |
Sep 22 2022 |
Reese Madsen (FSU ) |
On the cohomology groups of Hecke congruence subgroups for totally real number fields II |
Algebra seminar |
Time: 3:05pm |
Location: 330 |
We will show that the cohomology of Hecke congruence subgroups of a certain degree can be completely described by compactly supported cohomology. A key step in this process will be to extend a form th... More |
Sep 15 2022 |
Reese Madsen (FSU ) |
On the cohomology groups of Hecke congruence subgroups for totally real number fields |
Algebra seminar |
Time: 3:05pm |
Location: 105 |
The Hecke congruence subgroup is a subgroup of the Hilbert Modular group. We will first talk about the number theory needed to understand these groups. Then we will move on to examine the stabilizer o... More |
Sep 8 2022 |
Amod Agashe (FSU) |
Stark-Heegner/Darmon points |
Algebra seminar |
Time: 3:05pm |
Location: 105 Love |
Stark-Heegner points (also called Darmon points) are certain points defined on elliptic curves using analytic constructions, but are conjectured to have algebraic coordinates. They are a... More |
Sep 1 2022 |
Organizational meeting |
Algebra seminar |
Time: 3:05pm |
Location: 105 |
This will be an organizational meeting. |
Apr 21 2022 |
Milind Gunjal (FSU) |
Stabilization of 2-Crossed Modules |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
The goal of this talk is to stabilize 2-Crossed modules by putting a symmetric monoidal 2-category structure on them. We will also see outputs of the K-theory of Waldhausen categories in terms of corr... More |
Apr 14 2022 |
Franquiz Arturo Caraballo Alba (FSU) |
The First non-trivial Coefficient of the APP of a Smooth Hypersurface in P^3 |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
The Adjusted Predegree Polynomial (APP) is an algebraic invariant of hypersurfaces in n-dimensional projective space that encodes information about the closure of their orbit under the action of PGL(n... More |
Apr 8 2022 |
Yi Zhou (FSU) |
Algorithms for Factoring Linear Recurrence Operators |
Time: 1:00 |
Location: Zoom |
In this thesis we develop a few algorithms that are useful for factoring linear recurrence operators. We approach the factorization problem from three directions. First, considering reduction modulo a... More |
Apr 7 2022 |
Salash Nabaala (FSU) |
Non-commutative Geometry |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
The topic of this talk will be non-commutative geometry. Specifically, the categorical approach taken to realize certain abelian categories as "spaces". As an instance, the category of commutative r... More |
Mar 31 2022 |
Brandon Story (FSU) |
Motives of Melonic Graphs |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
This talk is based on the paper: Motives of Melonic Graphs, by Aluffi, Marcolli and Qaisar. |
Mar 24 2022 |
Niles Johnson (Ohio State) |
Graded Picard categories and the 2-type of the sphere |
Algebra seminar |
Time: 3:05 |
Location: LOV 301 |
The Stable Homotopy Hypothesis connects symmetric monoidal algebra and stable homotopy theory. In a classical special case, the tensor product of graded abelian groups leads to a model for the 1-dimen... More |
Mar 10 2022 |
Mark van Hoeij (FSU) |
The Riemann Existence Theorem, and applications to the Inverse Galois Problem. |
algebra seminar |
Time: 3:05 |
Location: LOV 301 |
This talk will start with the Riemann Existence Theorem. We will show how it implies that for any finite group G, there exist number fields K and F with Gal(K/F) = G. Next we will discuss the issues o... More |
Feb 24 2022 |
Man Cheung Tsui (FSU) |
Hilbert’s irreducibility theorem |
Algebra Seminar |
Time: 3:05 |
Location: LOV 301 |
This is an expository talk on Hilbert’s irreducibility theorem and the inverse Galois problem following Chapter 8 of Lang, Diophantine Geometry. |
Feb 15 2022 |
Matthew Winters (FSU) |
Torsion in Modular Abelian Varieties |
Candidacy exam |
Time: 3:05pm |
Location: Zoom |
Elliptic curves appear in many areas of mathematics, and abelian varieties can be viewed as higher dimensional analogues of elliptic curves. This talk discusses possible generalizations of results on ... More |
Feb 3 2022 |
Mark van Hoeij (FSU) |
Recurrence relations and the Lindemann–Weierstrass theorem |
Algebra seminar |
Time: 3:05 |
Location: LOV 301 |
In this talk I'll present a method to obtain irrationality results using recurrence relations, and use it to derive the Lindemann-Weierstrass theorem. The approach is motivated by Apery's proof of th... More |
Feb 3 2022 |
Mark van Hoeij (FSU) |
Recurrence relations and the Lindemann–Weierstrass theorem |
Algebra seminar |
Time: 3:05 |
Location: LOV 301 |
In this talk I'll present a method to obtain irrationality results using recurrence relations, and use it to derive the Lindemann-Weierstrass theorem. The approach is motivated by Apery's proof of th... More |
Jan 27 2022 |
Tao Song (University of Pennsylvania) |
Sustained p-divisible groups and the strong rigidity conjecture |
Algebra |
Time: 3:05 |
Location: Zoom |
When we look at the moduli space of abelian varieties, some 'linear spaces' naturally pop up. A classical example is the Serre-Tate coordinates, which says that the local deformation space of an ordin... More |
Dec 9 2021 |
Milind Gunjal (FSU) |
2-type of the K-theory of a Waldhausen category |
Candidacy Exam |
Time: 1pm |
Location: Zoom |
Dec 8 2021 |
Franquiz Caraballo-Alba (FSU) |
Adjusted Predegree Polynomial of a Quadric in P^3 |
Candidacy exam |
Time: 5:00 pm |
Location: zoom |
Dec 2 2021 |
Matthew Winters (FSU) |
Equivalence between definitions and constructions of elliptic curves |
Algebra seminar |
Time: 3:05pm |
Location: 104 or Zoom |
Elliptic curves are defined as smooth projective algebraic curves of genus one with a specified base point. This talk will show the equivalence of this definition to a curve cut out by an explicit cub... More |
Nov 18 2021 |
Franquiz Caraballo-Alba (FSU) |
The Adjusted Predegree Polynomial of a Hypersurface in P^n |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
PGL(n+1) acts on homogeneous polynomials on n+1 variables by a linear change of variables. In this talk, we will interpret this as an action of PGL(n+1) on subvarieties of P^n and we will construct an... More |
Nov 4 2021 |
Amod Agashe (FSU) |
Torsion and arithmetic component groups of elliptic curves II |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
This is the second part of the talk with the same title. We will briefly review what is needed from the first talk. The abstract for the series is: The orders of the torsion and arithmetic component ... More |
Oct 28 2021 |
Amod Agashe (FSU) |
Torsion and arithmetic component groups of elliptic curves |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
The orders of the torsion and arithmetic component groups of elliptic curves show up in the second part of the Birch and Swinnerton-Dyer conjecture. We shall recall the objects and the conjecture men... More |
Oct 21 2021 |
Abdullah Malik (FSU) |
Axiomatization of Differential Cohomology |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
Differential Cohomology is a cohomological theory which extends topological cohomology theories. These latter generalized cohomology theories are those which satisfies Eilenberg-Steenrod axioms, an ex... More |
Oct 14 2021 |
Amod Agashe (FSU) |
The cohomology groups of certain quotients of products of upper half planes and upper half spaces II |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
This will be part 2 of the talk with the same abstract as before (I will recall whatever is needed from the first talk): We shall discuss the cohomology groups of quotients of products of upper... More |
Oct 7 2021 |
Amod Agashe (FSU) |
The cohomology groups of certain quotients of products of upper half planes and upper half spaces |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
We shall discuss the cohomology groups of quotients of products of upper half planes and upper half spaces under the action of certain types of groups (usually arithmetic in nature). When the ... More |
Sep 30 2021 |
cancelled |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
Sep 23 2021 |
Yi Zhou (FSU) |
Fast Algorithm for Desingularization of Difference Operators and Its Application in Computing $p$-Characteristic Polynomial |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
A classical method to desingularize a difference operator is taking the left common least multiple (LCLM) with another suitably chosen operator. In this talk we present a new desingularization algorit... More |
Sep 16 2021 |
Man Cheung Tsui (FSU) |
Differential Essential Dimension |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
In this talk we will discuss simplifying the general matrix differential equation by means of gauge transformations. We will first review the differential Galois theory for matrix differential equatio... More |
Sep 9 2021 |
Man Cheung Tsui (FSU) |
Essential Dimension |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
Using the change of variables $x = y − a/2$, the general quadratic $x^2 + ax + b$ simplifies to the polynomial $y^2 + c$ in one parameter $c = b − a^2/2$. Similarly, a linear change of variables s... More |
Sep 2 2021 |
Organizational meeting |
Algebra seminar |
Time: 3:05pm |
No location for this even specified. |
This will be an organizational meeting. I will email the Zoom link to those in the department before the scheduled time. |
Apr 27 2021 |
Paige North (University of Pennsylvania) |
The Univalence Principle |
Homotopy Theory Seminar |
Time: 5pm |
Location: Zoom |
Univalent foundations (a.k.a homotopy type theory) is a foundation of mathematics based on dependent type theory. It has interpretations in the classical model structure on simplicial sets and other m... More |
Apr 13 2021 |
Maximilien Péroux (University of Pennsylvania) |
Coalgebras and comodules in stable homotopy theory. |
Homotopy Theory Seminar |
Time: 5pm |
Location: Zoom |
In higher algebra, we study algebraic objects endowed with a multiplication that is associative only up to (coherent) homotopy, or commutative up to (coherent) homotopy. In this Brave new algebra, we ... More |
Apr 8 2021 |
Melissa Emory (University of Toronto) |
TBA |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Apr 6 2021 |
Alexander Campbell (Centre of Australian Category Theory, Macquarie University) |
A model-independent construction of the Gray monoidal structure for (infinity,2)-categories |
Homotopy Theory Seminar |
Time: 6pm |
Location: Zoom |
In this talk I will describe joint work with Yuki Maehara in which we give a model-independent (i.e. a purely infinity-categorical) construction of the (non-symmetric) Gray monoidal structure on the i... More |
Apr 1 2021 |
Joe Webster (University of Oregon) |
The p-adic Mehta Integral |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Mar 25 2021 |
Raghuram (IISER Pune) |
An introduction to Eisenstein Cohomology and its arithmetic applications |
Algebra and Its Applications |
Time: 9:45AM |
Location: Zoom |
Mar 23 2021 |
Martina Rovelli (University of Massachusetts Amherst) |
n-complicial sets as a model for (infinity, n)-categories |
Homotopy Theory Seminar |
Time: 5 pm |
Location: Zoom |
With the rising significance of (infinity, n)-categories, it is important to have easy-to-handle models for those and understand them as much as possible. In this introductory talk we will discuss how... More |
Mar 18 2021 |
Kaneenika Sinha (IISER Pune) |
Central limit theorems for Sato-Tate sequences |
Algebra and Its Applications |
Time: 9:45AM |
Location: Zoom |
Mar 11 2021 |
Adriana Salerno (Bates College) |
Hasse-Witt matrices and mirror toric pencils |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Mirror symmetry predicts unexpected relationships between arithmetic properties of distinct families of algebraic varieties. For example, Wan and others have shown that for some mirror pairs, the numb... More |
Mar 4 2021 |
Kate Petersen (FSU) |
Average Height Bounds |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Feb 25 2021 |
Melissa Emory (University of Toronto) |
A multiplicity one theorem for general spin groups |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Feb 11 2021 |
Ettore Aldrovandi (FSU) |
Fiber integration in K-Theory and a construction of Deligne's |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Feb 9 2021 |
Rhiannon Griffiths (Case Western Reserve University) |
Enriched Model Categories for Functor Calculus |
Homotopy Theory Seminar |
Time: 5 pm |
Location: Zoom |
We present results necessary for developing model categories of enriched functors suitable for doing functor calculus. As a first example, we show how the discrete functor calculus of Bauer, Johnson a... More |
Feb 4 2021 |
Mark van Hoeij (FSU) |
Modular GCD Algorithm |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Jan 28 2021 |
Alia Hamieh (UNBC) |
Mean Values of Long Dirichlet Polynomials with Higher Divisor Coefficients |
Algebra and Its Applications |
Time: 3:05 |
Location: Zoom |
Jan 19 2021 |
Christina Osborne (Cedarville University) |
Decomposing the classifying diagram in terms of classifying spaces of groups |
Homotopy Theory Seminar |
Time: 5 pm |
Location: Zoom |
The classifying diagram was defined by Rezk and is a generalization of the nerve of a category; in contrast to the nerve, the classifying diagram of two categories is equivalent if and only if the cat... More |
Dec 3 2020 |
Daniel Vallieres (California State University, Chico) |
Numerical evidence for higher-order Stark-type conjectures |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
This is joint work with Kevin McGown and Jonathan Sands. We will provide numerical evidence for related conjectures of Stark, Rubin, Popescu, and Burns concerning L-functions for abelian extensions of... More |
Dec 1 2020 |
Brandon Doherty (University of Western Ontario) |
Cubical models of (infinity,1)-categories |
Homotopy Theory |
Time: 5pm |
Location: Zoom |
We describe a new model structure on the category of cubical sets with connections whose cofibrations are the monomorphisms and whose fibrant objects are defined by the right lifting property with res... More |
Nov 20 2020 |
Nima Rasekh (École Polytechnique Fédérale de Lausanne) |
Thom spectra, higher THH and Tensors in infinity-Categories |
Homotopy Theory |
Time: 1:25pm |
Location: Zoom |
In this talk we will show how we can use the formalism of presentable infinity-categories and the fact that they are tensored over spaces to present a new and formal method to compute higher THH of va... More |
Nov 19 2020 |
Cindy Lester (FSU) |
The homotopical canonical Grothendieck topology |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Every category can be equipped with the canonical Grothendieck topology, which can be explicitly described using colimits. However, colimits are not homotopy invariant. By instead using homotopy colim... More |
Nov 12 2020 |
John Berman (University of Texas at Austin) |
Algebraic K-theory and the zeta function |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Deninger suggested that a Weil cohomology theory in Arakelov geometry (not yet constructed) could be used to prove the Riemann Hypothesis. I will survey the relationship between the zeta function and ... More |
Nov 5 2020 |
Amod Agashe (FSU) |
Rational torsion in elliptic curves and the cuspidal subgroup II |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
This will be a continuation of the previous talk with the same title. We will go over the notion of modular forms and give more details of the proof of the result that we mentioned last time. We will ... More |
Oct 29 2020 |
Yi Zhou (FSU) |
An Algorithm for Factoring Polynomials and Differential/Difference Operators |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Beke-Bronstein algorithm is an elegant one for factoring differential operators. We reformulate the theory part in terms of exterior modules. It turns out the reformulation is also theoretically valid... More |
Oct 22 2020 |
Leonardo Mihalcea (Virginia Tech) |
Mather classes for Schubert varieties in Grassmannians |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
In the theory of characteristic classes of singular varieties, the Mather class of a variety X plays a central role. It is a longstanding problem to calculate this class for X a Schubert variety in a ... More |
Oct 15 2020 |
Daniel Fuentes-Keuthan (Johns Hopkins) |
K-theory as a Quillen Equivalence of Multicategories and Connective Spectra |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
The classifying space of a category allows us to view categories through a topological lens. When a category carries extra structure, such as a symmetric monoidal tensor product, this structure gets p... More |
Oct 13 2020 |
Sara Maloni (Virginia) |
Convex hulls of quasicircles in hyperbolic and anti-de Sitter space |
Topology and Geometry Seminar |
Time: 3:35p |
Location: Zoom |
Thurston conjectured that quasi-Fuchsian manifolds are determined by the induced hyperbolic metrics on the boundary of their convex core and Mess generalized those conjectures to the context of global... More |
Oct 8 2020 |
Amod Agashe (FSU) |
Rational torsion in elliptic curves and the cuspidal subgroup |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Let E be an elliptic curve defined over the rational numbers. Then, up to isogeny, one can view E as an abelian subvariety of a certain Jacobian J of a modular curve. We will show that under some hypo... More |
Oct 6 2020 |
Gye-Seon Lee (Sungkyunkwan University) |
Convex real projective Dehn filling |
Topology and Geometry Seminar |
Time: 9:30a |
Location: Zoom |
Hyperbolic Dehn filling theorem proven by Thurston is a fundamental theorem of hyperbolic 3-manifold theory, but it is not true anymore in dimension > 3. Since hyperbolic geometry is a sub-geometry of... More |
Oct 1 2020 |
Ettore Aldrovandi (FSU) |
An introducton to Homotopy Type Theory II |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Homotopy Type Theory is a new field of mathematics which combines Homotopy Theory and Type Theory, a branch of mathematical logic and computer science, in an innovative way. Type Theory ... More |
Sep 24 2020 |
Ettore Aldrovandi (FSU) |
An introducton to Homotopy Type Theory |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Homotopy Type Theory is a new field of mathematics which combines Homotopy Theory and Type Theory, a branch of mathematical logic and computer science, in an innovative way. Type Theory ... More |
Sep 17 2020 |
Mark van Hoeij (FSU) |
Sporadic Cubic Torsion, Part II |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
This talk is a continuation of last week's talk. To make the talk accessible for all graduate students, I’ll focus on one case and make it explicit as possible. Part I: How ... More |
Sep 15 2020 |
Dani Kaufman (Maryland) |
Markov Numbers, Teichmüller Theory and Cluster Algebra Invariants. |
Topology and Geometry Seminar |
Time: 3:35p |
Location: Online |
The Markov numbers have been studied in connection with quadratic forms and diophantine approximation since the 1880s. These numbers satisfy a simple diophantine equation and have a particularly nice ... More |
Sep 10 2020 |
Mark van Hoeij (FSU) |
Sporadic Cubic Torsion |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Let $K$ be a number field, and let $E/K$ be an elliptic curve over $K$. The Mordell--Weil theorem says that the $K$-rational points $E(K)$ of $E$ form a finitely generated abelian group.... More |
Sep 3 2020 |
(FSU) |
Organizational meeting |
Algebra seminar |
Time: 3:35pm |
Location: Zoom |
Apr 23 2020 |
Mark van Hoeij (Florida State University) |
How to define the natural numbers |
Algebra and Its Applications |
Time: 3:35pm |
Location: This will be an online seminar |
Lets construct the natural numbers: N = {0, 1, 2, 3, 4, ...} The dots mean "and so on”. But what does “and so on” mean? It means this: * I gave some examples.* Constructin... More |
Apr 16 2020 |
Shayea Aldossari (Florida State University) |
CANCELED |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
CANCELED |
Apr 9 2020 |
Lydia Eldredge (Florida State University) |
CANCELED |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
CANCELED |
Apr 2 2020 |
Yi Zhou (Florida State University) |
CANCELLED |
Algebra and Its Applications |
Time: |
No location for this even specified. |
CANCELLED |
Mar 26 2020 |
Grayson Jorgenson (Florida State University) |
Secant indices of projective varieties |
Algebra and Its Applications |
Time: 3:35pm |
Location: fsu.zoom.us/j/248086872 |
To each subvariety of projective space we associate an integer sequence that records the maximal cardinalities of its intersections with linear subvarieties. We call this the sequence of secant indice... More |
Mar 12 2020 |
Benjamin Prather (Florida State University) |
Quasialgebra structure of the octonions |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
I plan to discuss topics from the 1998 paper "Quasialgebra structure of the octonions" by H. Albuquerque, S. Majid. |
Mar 5 2020 |
Tyler Foster (Florida State University) |
Witt vectors and factorization statistics |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
Feb 24 2020 |
Rizwanur Khan (The University of Mississippi) |
Non-vanishing of Dirichlet L-functions |
Algebra and Its Applications |
Time: 3:35 PM |
Location: LOV 201 |
L-functions are fundamental objects in number theory. At the central point s = 1/2, an L-function L(s) is expected to vanish only if there is some deep arithmetic reason for it to do so (such as in th... More |
Feb 20 2020 |
Amod Agashe (Florida State University) |
The modular number, congruence number, and multiplicity one |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
The modular number and congruence number are certain invariants associated to modular abelian varieties (e.g., elliptic curves), and in joint work with K. Ribet, we proved a relation between them. Mul... More |
Feb 13 2020 |
Amod Agashe (Florida State University) |
The modular number, congruence number, and multiplicity one |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
The modular number and congruence number are certain invariants associated to modular abelian varieties (e.g., elliptic curves), and in joint work with K. Ribet, we proved a relation between them. Mul... More |
Feb 6 2020 |
Dave Massey (Northeastern) |
Lê Cycles, Jacobian Blow-Ups, and Segre Classes |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
Having defined the Lê cycles in the previous talk, I will explain how they are related to the exceptional divisor of the blow-up of the jacobian ideal. This will enable us to see that the sum of the ... More |
Jan 30 2020 |
Dave Massey (Northeastern) |
Lê Cycles and the local topology of Complex Hypersurfaces |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
I will recall the definition of the Milnor fibration of a complex hypersurface, define the Lê cycles and Lê numbers of a hypersurface with arbitrary singularities, and give several examples. Then I ... More |
Jan 23 2020 |
Paolo Aluffi (Florida State University) |
Generalities on proper intersections and blow-ups |
Algebra and Its Applications |
Time: 3:35pm |
Location: LOV 104 |
Prof. David Massey will visit the department for two weeks, and give talks in our seminar. My talk will review several notions from algebraic geometry which will be assumed as background in Massey’s... More |