Tangent cones to Schubert varieties form Kac--Moody groups

Abstract: Studying of the geometry of Schubert varieties for simple algebraic finite-dimensional complex groups is a classical topic in algebraic geometry. Tangent cones encode a lot of geometric information about singularity of Schubert varieties. One of the very important tool in investigation properties of tangent cones are Kostant--Kumar polynomials. I will discuss how this topics can be generalized to the case of Kac--Moody groups.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar