Home /  Workshop /  Schedules /  Chow Betti numbers of hypersimplices and related topics

Chow Betti numbers of hypersimplices and related topics

Connections for Women Workshop: Geometric and Topological Combinatorics August 31, 2017 - September 01, 2017

September 01, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Josephine Yu (Georgia Institute of Technology)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
  • hypersimplices

  • toric h vectors

  • Chow cohomology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

7-Yu

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. This is based on a joint work with Charles Wang.

Supplements
29421?type=thumb Yu Notes 785 KB application/pdf Download
Video/Audio Files

7-Yu

H.264 Video 7-Yu.mp4 378 MB video/mp4 rtsp://videos.msri.org/7-Yu/7-Yu.mp4 Download
Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.