Motivic invariants for moduli of parabolic Higgs bundles and parabolic connections on a curve

Abstract: Motivic classes can realize certain algebro-geometric invariants using elements of the Grothendieck ring of varieties or, more generally, of stacks. I will introduce motivic classes through rational point counting over a finite field, then discuss motivic class computations for moduli spaces and moduli stacks of semistable Higgs bundles (as well as vector bundles with connections on a curve), and finish by addressing the parabolic case.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar