Stringy Chern classes of toric varieties and their applications

Seminar
Speaker
Prof. Victor Batyrev (Universität Tübingen)
Date
11/03/2015 - 12:15 - 11:15Add to Calendar 2015-03-11 11:15:00 2015-03-11 12:15:00 Stringy Chern classes of toric varieties and their applications Stringy Chern classes of singular projective algebraic varieties can be defined by some explicit formulas using a resolution of singularities. It is important that the output of these formulas does not depend on the choice of a resolution. The proof of this independence is based on nonarchimedean motivic integration. The purpose of the talk is to explain a combinatorial computation of stringy Chern classes for singular toric varieties. As an application one obtains combinatorial formulas for the intersection numbers of stringy Chern classes with toric Cartier divisors and some interesting combinatorial identities for convex lattice polytopes. Third floor seminar room אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room
Abstract

Stringy Chern classes of singular projective algebraic varieties can be
defined by some explicit formulas using a resolution of singularities. It is important that the output of these formulas does not depend on the choice of a resolution.
The proof of this independence is based on nonarchimedean motivic integration.
The purpose of the talk is to explain a combinatorial computation of stringy Chern
classes for singular toric varieties. As an application one obtains
combinatorial formulas for the intersection numbers of stringy Chern classes
with toric Cartier divisors and some interesting combinatorial identities for convex lattice polytopes.

תאריך עדכון אחרון : 04/03/2015