Speaker: |
Hiraku Abe (Waseda University) |
Title: |
Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers |
Date (JST): |
Thu, Feb 27, 2014, 13:30 - 15:00 |
Place: |
Balcony A |
Abstract: |
We study intersection numbers of invariant divisors in the toric manifolds associated with Weyl chambers. We will give closed formulas in terms of Young diagrams. As a corollary, we describe the intersection numbers of certain submanifolds indexed by the elements of Weyl groups. These numbers determine the ring structure of the cohomology of the toric manifold. We will focus on the case of type A_n, and we will give a glance at other classical types. |