# University of Toronto's Symplectic Geometry Seminar

November 27, 2006, 3:10pm

SS 2128

## Matthieu Willems

### University of Toronto

## a Chevalley formula in equivariant K-theory

**Abstract: **
In this talk, I will give a Chevalley formula in equivariant K-theory.
First, I will decompose the class of a line bundle in the equivariant K-theory of a Bott-Samelson variety.
Then I will use this result to give a formula to multiply the class of a line bundle by the class of a Schubert variety
in the equivariant K-theory of a flag variety