# 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.