MenuEvents for 10/21/2022 from all calendars
Student/Postdoc Working Geometry Seminar
Time: 1:00PM - 2:00PM
Location: BLOC 628
Speaker: V. Steffan, TAMU/Copenhagen
Title: Strassen's additivity conjecture and variants.
Algebra and Combinatorics Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 302
Speaker: Catherine Yan, TAMU
Title: On the Limiting Vacillating Tableaux for Integer Sequences
Abstract: A fundamental identity in the representation theory of the partition algebra is $n^k = \sum_{\lambda} f^\lambda m_k^\lambda$ for $n \geq 2k$, where $\lambda$ ranges over integer partitions of $n$, $f^\lambda$ is the number of standard Young tableaux of shape $\lambda$, and $m_k^\lambda$ is the number of vacillating tableaux of shape $\lambda$ and length $2k$. Using a combination of RSK insertion and jeu de taquin, Halverson and Lewandowski constructed a bijection $DI_n^k$ that maps each integer sequence to a pair consisting of a standard Young tableau and a vacillating tableau. In this talk we show that for a given integer sequence $i$, when $n$ is sufficiently large, the vacillating tableaux determined by $DI_n^k(i)$ become stable when n goe to infinite; the limit is called the limiting vacillating tableau for $i$. We give a characterization of the set of limiting vacillating tableaux and present explicit formulas that enumerate those vacillating tableaux. This is a joint work with Zhanar Berikkyzy, Pamela Harris, Anna Pun and Chenchen Zhao.
Free Probability and Operators
Time: 4:00PM - 5:00PM
Location: BLOC 306
Speaker: Daniel Perales, TAMU
Title: Finite free multiplicative convolution
Abstract: We will introduce the finite free multiplicative convolution of two polynomials, and explain how it is related to free probability in the limit. Then we will study some recent results regarding this convolution, such as the law of large numbers. We will also explain how finite free probability can be used to study the effect of differentiating a sequence of polynomials several times and then looking at the resulting limiting root distribution.
