Andrzej Weber, University of Warsaw: Characteristic classes with boundary conditions

Andrzej Weber, University of Warsaw: Characteristic classes with boundary conditions
The process of resolving singularities produces smooth manifolds with smooth normal crossing divisors. The multiplicities naturally associated with the divisors play a key role in the analysis of geometry of algebraic varieties. I will report on the twisted motivic Chern classes which consider boundary multiplicities. I will discuss a connection with elliptic characteristic classes and show application to Schubert varieties and matrix Schubert varieties. It is a joint work with Jakub Koncki.