Complex K-theory of dual Hitchin systems

Abstract: I will report on joint work with Shiyu Shen. Moduli spaces of $\text{SL}(n)$ and $\text{PGL}(n)$-Higgs bundles are conjecturally related by a derived equivalence and (up to HK rotation) mirror symmetry. This talk will be devoted to a shadow of these equivalences in complex K-theory.

commutative algebraalgebraic geometryalgebraic topologynumber theoryrepresentation theorysymplectic geometryPhysics

Audience: researchers in the topic

Comments: Hybrid delivery (in person on University of Saskatchewan campus and via Zoom).

PIMS Geometry / Algebra / Physics (GAP) Seminar