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This Week in Mathematics


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Entries for this week: 6
Monday February 06, 2023

Mathematics Colloquium [url]
Polynomials in combinatorics and representation theory
    - Jacob Matherne, MPIM Bonn/Mathematisches Institut, Universitat Bonn
Time: 3:05pm Room: zoom
More Information
Abstract/Desc: Many polynomials in combinatorics (and in other areas of mathematics) have nice properties such as having all of their roots being real numbers, or having all of their coefficients being nonnegative. By surveying recent advances in the Hodge theory of matroids (namely, the nonnegativity of Kazhdan-Lusztig polynomials of matroids and Dowling and Wilson's top-heavy conjecture for the lattice of flats of a matroid), I will give several examples of well-behaved polynomials, and I will indicate some connections of these properties to geometry and representation theory. The talk should be understandable to everyone, and should appeal to those with interests in at least one of the following topics: hyperplane arrangements, matroids, log-concavity, real-rooted polynomials, lattice theory, Coxeter groups, and the representation theory of Lie algebras. It will contain results that are joint work with Tom Braden, Luis Ferroni, June Huh, Nicholas Proudfoot, Matthew Stevens, Lorenzo Vecchi, and Botong Wang.

Wednesday February 08, 2023

Departmental Tea Time
C is for cookie, and shorthand for C[0,1] w/the sup norm
Time: 3: Room: 204 LOV

Computational Methods for Stochastic Optimization and Control
Stochastic computing and optimization
    - Students in ACM and Math Fin, FSU
Time: 3:05pm Room: 231

Biomathematics Journals Seminar [url]
Single Pulse Perturbation of Biological Oscillators
    - Tristen Jackson, FSU
Time: 5:00 Room: Dirac library

Thursday February 09, 2023

Financial Mathematics Seminar [url]
On convergence of densities of Gaussian functionals to a Gamma density via the Malliavin-Stein method
    - Thanh Dang, FSU
Time: 3:05pm Room: LOV231
Abstract/Desc: The now classical Malliavin-Stein method, a combination of Stein's method with Malliavin calculus, has been very successful in deriving quantitative limit theorems for non-linear approximation. One important achievement of the method is the fourth moment theorem, which asserts that for a sequence of random variables $X_n$ that live on a fixed Wiener chaos and have unit variance, convergence in distribution to the standard normal law is equivalent to convergence of just the fourth moments of $X_n$ to $3$. Since its discovery, the fourth moment theorem has been extended in many directions, one of them being convergence of densities of random variables in a fixed Wiener chaos to a normal density. In this talk, we will discuss how to obtain a quantitative fourth moment theorem for point-wise convergence of densities of random variables in a fixed Wiener chaos, which are functionals of an underlying Gaussian process, to density of a Gamma distribution. Our approach is via the Malliavin-Stein method combined with elements of the Dirichlet structure associated with a Gamma distribution. This is an ongoing work with Solesne Bourguin of Boston University

Friday February 10, 2023

Biomath
General Overview of research and collaborations
Time: 11 Room: Dirac


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