Motivic Invariants of Moduli of Irregular Parabolic Higgs Bundles and Bundles

Explore a comprehensive lecture on motivic invariants of moduli spaces in algebraic geometry. Delve into the concept of motivic integration introduced by Maxim Kontsevich in 1995 and its application to motivic Donaldson-Thomas invariants. Learn about the joint project with Roman Fedorov and Alexander Soibelman, which focuses on computing motivic Donaldson-Thomas invariants for moduli stacks of semistable irregular parabolic Higgs bundles and bundles with connection on smooth projective curves. Understand the significance of "irregular parabolic" in this context, referring to Higgs fields and connections with poles of arbitrary order at fixed points, preserving flags of given types. Gain insights from Yan Soibelman of Kansas State University in this hour-long presentation from the Institut des Hautes Etudes Scientifiques (IHES), available on the French scientific video platform CARMIN.tv.