📅 seminar

On the centers and cocenters of the cyclotomic Hecke and KLR algebras

📅 November 13, 2025
📍 ICM Lecture Hall(Room 240A, Taizhou Hall)

Event Information

📅
Start Time
November 13, 2025 at 03:00 PM
🏁
End Time
November 13, 2025 at 04:00 PM
📍
Venue
ICM Lecture Hall(Room 240A, Taizhou Hall)

Speaker Information

👤
Name
Jun HU
🏢
Institution
Beijing Institute of Technology

Abstract

In this talk, I shall report our work on the centers and cocenters of the cyclotomic Hecke and KLR algebras. We characterize minimal length elements in each conjugacy class of the complex reflection group G(r,1,n) and construct integral bases for the cocenter of the corresponding cyclotomic Hecke algebra. We propose a general approach to study the center conjecture for the cyclotomic KLR algebras. The talk are based on some joint work with Shi Lei, Lin Huang, and with Shi Xiaolin and Shi Lei