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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

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.

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