## PIMS/WMAX Postdoctoral Colloquium: Weighted Ehrhart theory and orbifold cohomology

• Date: 04/01/2010
Lecturer(s):
Alan Stapledon (UBC)
Location:

University of British Columbia

Description:

Motivated by geometry, we consider a less discrete' way of counting lattice points in polytopes, in which one assigns a certain weight' to each lattice point. On the combinatorial side, this approach reveals some `hidden symmetry' which improves upon and makes transparent some classical results in Ehrhart theory. On the geometric side, the combinatorial invariants count orbifold Betti numbers of toric stacks. If time permits, we will discuss a generalization involving motivic integration.

Schedule:

2:00 - 3:00pm, WMAX 216.