GAUSS Seminar

Speaker: 
Anup Poudel
Topic: 
Combinatorial spiders and webs

Representation theory allows one to use linear algebraic techniques to study abstract objects, such as groups, and algebras. Given an algebra, one usually considers its category of representations to study them. Kuperberg gave a way to recover representation theoretic information using diagrams, called spiders. In this talk, we will learn (in a non-technical manner) about an example of spiders coming from combinatorial information of category of representations of a Lie algebra, SL(4). There will be a lot of diagrams. Audience only needs to know some elementary facts from linear algebra.

Abstract:

Representation theory allows one to use linear algebraic techniques to study abstract objects, such as groups, and algebras. Given an algebra, one usually considers its category of representations to study them. Kuperberg gave a way to recover representation theoretic information using diagrams, called spiders. In this talk, we will learn (in a non-technical manner) about an example of spiders coming from combinatorial information of category of representations of a Lie algebra, SL(4). There will be a lot of diagrams. Audience only needs to know some elementary facts from linear algebra. 

 

Meeting ID: 931 9296 4149

Password: GAUSS

 

We will have milk and cookies! Remember to bring your own mugs. 

Event Date: 
November 16, 2021 - 3:30pm to 4:20pm
Location: 
SH 176 and Online (See url)
Host: 
Nitesh Mathur & Praneel Samanta
Calendar Category: 
Seminar
Seminar Category: 
GAUSS