Growth in tensor powers

Time：2023-04-26 Wed 10:30-12:00

Venue：Venue:1131 ZOOM:559 700 6085（PW: BIMSA）

Organizer：Zhengwei Liu, Sebastien Palcoux, Yilong Wang, Jinsong Wu

Speaker：Victor Ostrik University of Oregon

Abstract

This talk is based on joint work with K.Coulembier, P.Etingof, D.Tubbenhauer. Let G be any group and let V be a finite dimensional representation of G over some field. We consider tensor powers of V and their decompositions into indecomposable summands. The main question which will be addressed in this talk: what can we say about count (e.g. total number) of these indecomposable summands? It turns out that there are reasonable partial answers to this question asymptotically, i.e. when the tensor power is large.

DATEApril 26, 2023

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