Skip to main content

Josephine Yu: Chow Betti numbers of hypersimplices

Time: Wed 2018-03-28 10.00 - 11.00

Location: Room 3418, Lindstedtsvägen 25. Department of Mathematics, KTH

Participating: Josephine Yu, Georgia Tech

Export to calendar

Abstract

The Chow Betti numbers of a hypersimplex are ranks of Chow cohomology groups of the torus orbit closure of a generic point in the Grassmannian. They are also dimensions of Minkowski weights on the normal fan of the hypersimplex, which are functions on the set of cones of the fan satisfying a balancing condition. We give explicit formulas for these numbers. We also show that similar formulas hold for the toric h numbers of dual hypersimplices and coordinator numbers of type A* lattices. I will also discuss connections to McMullen's polytope algebra and some open problems.
This is based on a joint work with Charles Wang.