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Seminars for Pure Mathematics


Past Events

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Dec 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.More
 
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