# 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 - Department of Mathematics``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.

Last Updated Date : 04/03/2015