School of Mathematics Colloquium
Equivariant K-theory of flag varieties
by Prof. Shrawan Kumar (University of North Carolina at Chapel Hill, USA)
Thursday, May 3, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Description |
We will discuss the T-equivariant K-theory of flag varieties G/B, where G is a semisimple complex algebraic group, B is a Borel subgroup and T is a maximal torus in B. The equivariant K-theory of G/B comes equipped with two natural bases: one coming from the structure sheaves of the Schubert varieties and the other its `dual' basis. We will prove some positivity phenomenon in the T-equivariant K-theory of G/B for the product structure constants in either of the above two bases. We will also discuss a generalization of these results to the flag varieties of Kac-Moody groups. |