Events for 03/24/2023 from all calendars

Finite Element Rodeo 2023

Time: 12:00PM - 9:00PM

Location: BLOC 149

Speaker: Matthias Maier

URL: Event link

Student/Postdoc Working Geometry Seminar

Time: 1:00PM - 2:00PM

Location: BLOC 628

Speaker: Arpan Pal, TAMU

Title: Toric Structure in Statistical Models through Symmetry Lie Algebra

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 506A

Speaker: Avery St. Dizier , UIUC

Title: A Polytopal View of Schubert Polynomials

Abstract: Schubert polynomials are a family of multivariable polynomials whose product can be used to solve problems in enumerative geometry. Despite their many known combinatorial formulas, there remain mysteries surrounding these polynomials. I will describe Schubert (and the special case of Schur) polynomials with a focus on polytopes. From this perspective, I will address questions such as vanishing of Schubert coefficients, relative size of coefficients, and interesting properties of their support. Time permitting, I'll talk about my current work on generalizing the Gelfand–Tsetlin polytope, and its connections with representation theory and Bott–Samelson varieties.

Geometry Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 506A

Speaker: H, Keneshlou, U. Konstanz

Title: The construction of regular maps to the Grassmannian

Abstract: A continuous map f : C^n −→ C^N is called k-regular, if the image of any k distinct points in C^N are linearly independent. The study of existence of regular map was initiated by Borusk 1957, and later attracted attention due to its connection with the existence of interpolation spaces in approximation theory, and certain inverse vector bundles in algebraic topology. In this talk, based on a joint work with Joachim Jelisiejew, we consider the general problem of the existence of regular maps to Grassmannians C^n −→Gr(τ, C^N ). We will discuss the tools and methods of algebra and algebraic geometry to provide an upper bound on N, for which a regular map exists.

Free Probability and Operators

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Zhiyuan Yang, TAMU

Title: Modular structure of Hilbert space and twisted Araki-Woods algebras

Abstract: We discuss the construction of T-twisted Araki-Woods von Neumann algebras following the preprint https://arxiv.org/pdf/2212.02298.pdf by da Silva and Lechner, which is a generalization of the q-Araki-Woods algebras. We will begin with the basic properties of the modular operators of standard subspaces and its correspondence with the semigroup approach often used in q-Araki-Woods literature. Then we describe a sufficient and necessary condition (crossing symmetry and satisfying the Yang-Baxter equation) on the twist T for the vacuum vector to be separating.