# University of Toronto's Symplectic Geometry Seminar

Sept. 20 2004, 1:10 - 2

SS5017A

## Matthieu Willems

###
U of Toronto

##
"Equivariant Schubert Calculus"

** Abstract: **
I calculate the restrictions to fixed points of a basis of
the equivariant cohomology of Bott-Samelson varieties, and I give a
description by generators and relations of these cohomology
algebras. I describe
the link between the cohomology of Bott-Samelson varieties and the
cohomology of flag varieties. I use these results
to give a method to calculate the structure constants of the
equivariant cohomology of the flag varieties (equivariant Schubert
calculus).