Seminar series
Date
Thu, 31 May 2012
Time
14:00 -
16:00
Location
L3
Speaker
Prof Joel Kamnitzer
Mirkovic-Vilonen polytopes are a combinatorial tool for studying
perfect bases for representations of semisimple Lie algebras. They
were originally introduced using MV cycles in the affine Grassmannian,
but they are also related to the canonical basis. I will explain how
MV polytopes can also be used to describe components of Lusztig quiver
varieties and how this allows us to generalize the theory of MV
polytopes to the affine case.