清华主页 EN
导航菜单

Asymptotic representation theory

来源: 11-23

时间:17:00-17:45, 2024-11-25

地点: A6-1

主讲人:Pavel Nikitin

Speaker: Pavel Nikitin (BIMSA)

Time: 17:00-17:45, 2024-11-25

Venue: A6-1

Zoom: 388 528 9728

Password: BIMSA

Abstract

Asymptotic properties of representations of classical groups can often be formulated in terms of the behavior of random Young diagrams, which can be considered as random two-dimensional landscapes. We will discuss the key asymptotic properties of such landscapes: convergence to limit shapes and universal local behavior, using a particular model (skew Howe duality) as an example.

Speaker Intro

Pavel Nikitin joined BIMSA in 2023. His research focuses primarily on asymptotic representation theory and integrable probability. He obtained his PhD from Saint-Petersburg State University, was a postdoc researcher in Institut de Mathematiques, Marseille, and a senior researcher in VNIIGas Institute, Moscow and Steklov Institute, Saint-Petersburg.

Member Seminar Intro

The BIMSA member seminar is a weekly event during which researchers engage in discussions about their extensive research interests, addressing a diverse audience that includes fellow researchers and all postdoctoral scholars within the institute. This forum provides a unique privilege and an invaluable opportunity for each research faculty member, serving as a speaker, to introduce their research field, promote the subject within the institute, and ignite the potential for future collaborations with other research groups within the institute.

The lecture format consists of a 30-minute colloquium-style presentation, thoughtfully tailored to be accessible to postdoctoral scholars and researchers from diverse disciplines within the institute. Following the presentation, a 15-minute discussion session is anticipated, involving active participation from postdocs representing various fields.

It is mandatory for all postdocs at the institute to actively participate in this event. The enthusiastic involvement of faculty members is greatly valued and will prove mutually beneficial for both the speaker and the junior audience.

Organizers

Yuval Peres

Professor

Probability Theory

Artan Sheshmani

Professor

Algebraic Geometry

Hossein Yavartanoo

Professor

Mathematical Physics

返回顶部
相关文章
  • Asymptotic representation theory

    IntroductionOne of the classical objects in asymptotic representation theory is the infinite symmetric group. The main objective of this course is to explore various questions and methods of the theory by examining the Plancherel measure on the set of Young diagrams, which parametrize the irreducible representations of symmetric groups. We will begin with the study of the limit shape using vari...

  • Random matrices and asymptotic representation theory

    PrerequisiteSome knowledge of representation theory of Lie groups or symmetric group and random matrix theory would be helpful. Demonstrations require the use of Python programming language and Sage computer algebra system, so some experience here would be a plus. There is some overlap with material of my previous course "From free fermions to limit shapes and beyond" and connections to the cou...