Algebra Seminar: Ram -- Combinatorics of the Loop Grassmannian

This is the first lecture in a series of 3 by Arun Ram (University of Melbourne), the
other two are on June 16 and 17.

Tuesday 14 June, 12-1pm, Place: Carslaw 375 

Combinatorics of the Loop Grassmannian 

I will explain what the loop Grassmannian and the affine flag variety are and how to
label their points.  This labelling is a refinement of the labelling of crystal bases by
Littelmann paths. I’ll show the picture which summarises the connection to the affine
Hecke algebra and the spherical affine Hecke algebra. I’ll give a summary of the
relationship between Mirkovic-Vilonen cycles and the crystal bases and explain how this
is reflected in the path model indexing.