报 告 人： Ziqing Xiang
工作单位: University of Georgia
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.
Ziqing Xiang graduated from University of Georgia this May. He has many research interests, which mainly focus on Representation Theory, Combinatorics and Number Theory.