# Representation theory of elliptic algebras

## Location

In this talk, I will discuss how to use algebro-geometric and Poisson geometric methods to study the representation theory of noncommutative algebras that are ‘close’ to being commutative. Such algebras will include the 3- and the 4-dimensional Sklyanin algebras, which are noncommutative analogues of polynomial algebras whose behavior is governed by a certain elliptic curve. This will be based on joint work with Xingting Wang and Milen Yakimov available in PLMS (2019) and Selecta Math (2021). I also aim to keep the presentation as down-to-earth as possible so that everybody will have fun.

The synchronous discussion for Chelsea Walton’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2022-01-21-cw (and will be deleted after ~3-7 days).