Contact Loci of Arcs - Topology and Floer Theory in Hypersurfaces

Explore a mathematical lecture from KU Leuven professor Nero Budur examining contact loci of arcs and their relationship to motivic integration. Delve into how contact loci, defined as sets of arcs on varieties with prescribed contact order along fixed subvarieties, play a crucial role in motivic zeta functions as generating series for contact loci classes in Grothendieck groups. Learn about recent discoveries connecting the fundamental topology of hypersurface contact loci with both Floer theory and log minimal models through this hour-long advanced mathematics presentation.