ODTÜ-BİLKENT
ALGEBRAIC GEOMETRY SEMINAR

“KM THEORY OF RATIONALLY SMOOTH GROUP EMBEDDINGS”

by

RICHARD GONZALES

(Bogazici University)

Abstract: Let G be a reductive group. A GxG-variety X is called
an embedding of G if X is normal, projective, and contains G as an open dense
orbit. Regular compactifications and standard embeddings are the main source of
examples. In the former case, they are smooth varieties, and their equivariant
cohomology has been explicitely described by Brion using GKM theory. His
description relies on the associated torus embedding and the structure of the
GxG-orbits. In contrast, standard embeddings constitute a much larger class of
embeddings than the smooth ones, and their equivariant cohomology was, just
until recently, only understood in some cases. Based on results of Renner,
standard embeddings were known to come equipped with a canonical cell
decomposition, given in terms of underlying monoid data

Date:  21 October  2011 Friday

Time: 15.40

Place: Bilkent,
Mathematics Seminar Room SA-141

Tea and cookies will be served after the
talk.