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Seminars

On the action of the Iwahori-Hecke algebra on modular invariants and applications

Hold Date
2014-11-05 16:00〜2014-11-05 17:00
Place
Seminar Room 1, Faculty of Mathematics building, Ito Campus
Object person
 
Speaker
Lê Minh Hà (Vietnam National University)

Abstract:

We compute the action of the Iwahori-Hecke algebra on the ring of modular invariants of Borel subgroup of the general linear group at odd primes. Two applications will be presented: A new invariant theoretic description of the universal Steenrod algebra at odd primes, and a quick proof of a basis for the Steinberg summand of the mod p cohomology of elementary abelian p-group without using Steenrod operations. This is joint work with Phan Hoang Chon.