Characteristic Classes with Boundary Conditions in Algebraic Geometry

Watch a 55-minute mathematics lecture exploring the relationship between characteristic classes and boundary conditions, presented by Andrzej Weber from the University of Warsaw. Delve into the study of how resolving singularities generates smooth manifolds with smooth normal crossing divisors, and examine the crucial role of multiplicities associated with these divisors in understanding algebraic variety geometry. Learn about twisted motivic Chern classes that incorporate boundary multiplicities, and discover their connection to elliptic characteristic classes. Explore practical applications of these concepts to Schubert varieties and matrix Schubert varieties, featuring collaborative research work with Jakub Koncki.