Hecke algebra action on stable basis
Algebraic Geometry and Number Theory Seminar
Date:
Thursday, June 1, 2023 13:00 - 15:00
Speaker:
Jakub Koncki (IMPAN, Warsaw)
Location:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
Birgit Oosthuizen-Noczil
Many characteristic classes of singular varieties are defined using resolution of singularities. I will show that the stable basis for a generalized flag variety may be constructed in this way. The geometry of Bott-Samelson resolution of singularities induces a Hecke-type algebra action. It allows for an effective computation of stable basis. This formula was previously known in the special case of canonical slope. The talk is based on a joint work with A. Weber.