Explore an hour-long mathematical lecture delving into advanced computational methods for higher Thom polynomials of multisingularities. Learn about the fundamental concepts of mapping varieties and singularity germs, focusing on the study of loci where maps exhibit specific singularities. Discover improved interpolation methods derived from stable envelope concepts and examine how Thom polynomials describe fundamental classes of such loci. Gain insights into the structure of higher Thom polynomials of multisingularities, building upon Kazarian's established results. Based on collaborative research with R. Rimanyi, master sophisticated mathematical techniques for analyzing and computing these complex polynomial structures in algebraic geometry.
Overview
Syllabus
Jakub Koncki, IMPAN: How to compute higher Thom polynomials of multisingularities?
Taught by
IMSA