Speaker : Ziqing Xiang (Academia Sinica)
Title : Support varieties for Iwahori-Hecke algebras
Time : 2019-11-06 (Wed) 14:00 - 15:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: In this talk, I will discuss a theory of support varieties for Iwahori-Hecke algebras which detects natural homological properties such as the complexity of modules. The theory has a canonical description in an affine space where computations are tractable. The ideas involve the interplay with the computation of the cohomology ring due to Benson, Erdmann and Mikaelian, the theory of vertices due to Dipper and Du, and branching results for cohomology by Hemmer and Nakano. Calculations of support varieties and vertices are presented for permutation, Young and classes of Specht modules.