Natalia Kolokolnikova – Geometric Methods in Representation Theory Seminar

Title: K-theoretic Thom polynomial and the rationality of the singularities of the A2 loci.

Abstract: I will discuss the definitions of two K-theoretic invariants of the singularity loci, prove that they are not always equal and tell how this problem is connected to the study of the rationality of the singularities of the singularity loci. I will prove that the singularities of the A2 loci are rational in some very specific cases, but are not rational in general.