Florida State University
FSUMATH
search
Florida State University Seal

Department of Mathematics

This Week in Mathematics

>> Next Week [2023-10-01 - 2023-10-07] >> Beyond Next Week [2023-10-07+]
<< View Previously Scheduled Events
Current Week [Sep 24, 2023 - Sep 30, 2023]
September
S M T W R F S
     12
3456789
10111213141516
17181920212223
24252627282930
Today:
PDE seminar
Inertial manifolds for regularized Navier-Stokes equations
    - Yanqiu Guo, Florida International University
Time: 3:05pm Room: LOV 231
More Information
Abstract/Desc: One of the central problems for dissipative systems generated by PDEs is concerned with whether the underlying dynamics is effectively finite dimensional and can be described by a system of ODEs. To study this problem, Foias, Sell, and Temam introduced the concept of inertial manifolds. An inertial manifold of an evolution equation is a finite-dimensional Lipschitz invariant manifold attracting exponentially all the trajectories of a dynamical system induced by the underlying evolution equation. The existence of an inertial manifold for an infinite-dimensional evolution equation represents the best analytical form of reduction of an infinite system to a finite-dimensional one. But whether the Navier-Stokes equations possess an inertial manifold is unknown. In this talk, I will focus on the existence of inertial manifolds for some regularized Navier-Stokes equations.

Entries for this week: 10
Monday September 25, 2023

PDE seminar
Inertial manifolds for regularized Navier-Stokes equations
    - Yanqiu Guo, Florida International University
Time: 3:05pm Room: LOV 231
More Information
Abstract/Desc: One of the central problems for dissipative systems generated by PDEs is concerned with whether the underlying dynamics is effectively finite dimensional and can be described by a system of ODEs. To study this problem, Foias, Sell, and Temam introduced the concept of inertial manifolds. An inertial manifold of an evolution equation is a finite-dimensional Lipschitz invariant manifold attracting exponentially all the trajectories of a dynamical system induced by the underlying evolution equation. The existence of an inertial manifold for an infinite-dimensional evolution equation represents the best analytical form of reduction of an infinite system to a finite-dimensional one. But whether the Navier-Stokes equations possess an inertial manifold is unknown. In this talk, I will focus on the existence of inertial manifolds for some regularized Navier-Stokes equations.
Tuesday September 26, 2023

Topology/Geometry Seminar [url]
Cubical models of higher categories without connections
    - Brandon Doherty, FSU
Time: 3:05 PM Room: LOV 0231
More Information
Abstract/Desc: 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 proofs that these model structures are Quillen equivalent to the Joyal model structure on simplicial sets. If time permits, we will also discuss the comical model structures on marked cubical sets which model (infinity,n)-categories for arbitrary n, and the proof that these are equivalent to the corresponding complicial model structures on marked simplicial sets.
Wednesday September 27, 2023

Departmental Tea Time
C is for cookie, and shorthand for C[0,1] w/the sup norm
Time: 3: Room: 204 LOV
Applied and Computational Math Seminar -- Stochastic Computing and Optimization
Stochastic Computing and Optimization
    - ACM/Fin Math students,
Time: 3:05PM Room: LOV 0231
Abstract/Desc: Students from ACM and Financial Math will present their research progress. Some invited speakers may also present their research.
Applied and Computational Math Seminar [url]
C0 interior penalty methods for elliptic distributed optimal control problems
    - SeongHee Jeong, Florida State University
Time: 3:05pm Room: LOV107
Biomath Journal Club [url]
A Mathematical Theory of Visual Hallucination Patterns
    - Tristen Jackson, Florida State University
Time: 5:00 PM Room: Dirac 216
Biomathematics Seminar
A survey of evolutionary game theory
    - Bryce Morsky, FSU
Time: 3:05 Room: LOV232
Abstract/Desc: Evolutionary game theory is applied throughout biomathematics and economics. In this seminar, I will present some fundamental concepts and survey their applications. Of particular interest will be understanding the evolution of cooperative behaviour.
Thursday September 28, 2023

Financial Mathematics Seminars [url]
Portfolio Selection via Strategy-Specific Eigenvector Shrinkage
    - Alec Kercheval, Florida State University
Time: 3:05 Room: LOV 231
Abstract/Desc: Portfolio managers need to estimate risk for many assets simultaneously with a limited number of useful observations. The standard approach is to do this using factor models, which reduce the number of variables that need to be estimated in the resulting structured covariance matrix. Even in a one-factor setting, there remains the open problem of finding a good estimate for the leading eigenvector – usually called beta -- representing the loadings on the single factor. We describe how to apply a statistical approach known as shrinkage to the novel setting of eigenvectors of unknown matrices. We can do so in a way that is customized to the particular constraints of a portfolio optimization problem, resulting in an estimated portfolio that is quantifiably better than one obtained by standard principal component analysis. This is joint work with Lisa Goldberg.
Algebra seminar [url]
Enumerative Geometry of Pascal’s Theorem
    - Jaydeep Chipalkatti, University of Manitoba
Time: 3:05pm Room: Zoom
Abstract/Desc: 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 containing them is called a Pascal, and we get altogether 60 such lines by permuting the points. We will consider the enumerative problem of finding the number of sextuples (A, B, . . . , F) which correspond to three pre-specified Pascals. One can use computational techniques in commutative algebra to solve this problem in all cases. I will mention a joint result with A. Abdesselam, which gives a formula for these sextuples in a special case. There is a further twist in the so-called Steiner case, where the solutions move on an algebraic curve. In the end, I will outline another approach to the original enumerative problem using the intersection ring of a configuration space. The talk should be widely accessible, and no substantial background in algebraic geometry will be assumed.

Friday September 29, 2023

Data Science and Machine Learning Seminar
TBA
    - Ethan Semrad, FSU Mathematics
Time: 1:20 Room: Love 102

Problems? Email webmaster@math.fsu.edu.

© Florida State University
Tallahassee, FL 32306

208 Love Building, 1017 Academic Way
Tallahassee, FL 32306-4510
Phone: 850-644-2202 Fax: 850-644-4053