On the center conjecture for the cyclotomic Hecke algebras and cyclotomic KLR algebrasMPIM

by Lei Shi (MPIM)

Thursday Aug 28, 2025, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

The center conjecture for the cyclotomic Hecke algebra of type G(r,1,n) asserts that its center consists of symmetric polynomials in its Jucys-Murphy operators and its dimension is independent of the characteristics of the ground field and defining parameters. There are similar conjectures for the cyclotomic KLR algebras. In this talk, I shall report our recent progress on these two conjectures. This talk is based on joint work with Jun Hu.