Algebra Seminar: Hong -- A comparison theorem for affine Demazure modules

Jiuzu Hong (University of North Carolina) will be speaking in the algebra seminar.  We
will go out for lunch after the talk---all are welcome to join! 

When: 12-1pm Friday February 21 

Where: SMRI Seminar room (McLeay Building A12, Room 301) 

Title: A comparison theorem for affine Demazure modules 

Abstract: Given an integrable highest weight representation L(\Lambda) of an affine Lie
algebra \hat{g} associated to a simple Lie algebra g, we consider a summation of certain
affine Demazure modules in L(\Lambda).  We show that the character of this summation
with respect to the Cartan subalgebra h of g, up to a shift of \Lambda restricted to h,
is dependent only on the level of L(\Lambda).  

This result refines the coherence conjecture by Pappas-Rapoport, which was proven by Zhu
and focuses on comparing dimensions.  To establish this comparison theorem, we
investigate line bundles on global Schubert varieties of parahoric Bruhat-Tits group
schemes and equip them with certain equivariant structures.  

This talk will be based on a joint work with Huanhuan Yu.