# High Energy Theory Seminar

Online Event

Generalized hyperpolygons, meromorphic Higgs bundles on curves, and integrability

Steven Rayan

*,*University of Saskatchewan*,*In this talk, I will construct a moduli space of generalized hyperpolygons from a comet-

shaped quiver. The resulting Nakajima quiver variety can be interpreted as a distinguished subvariety of a moduli space of meromorphic Higgs bundles on a punctured curve. Reporting on joint work with L. Schaposnik (arXiv:2001:06911), I will discuss how the moduli space inherits, for complete and minimal flags, a Gelfand-Tsetlin-type integrable system from the reduction of a product of cotangent bundles of (partial) flag varieties. I will also discuss emerging work with M.J. Kang on a version of this construction that links two quivers through a BPS condition.

For more information, please email theoryinfo@caltech.edu or visit http://www.theory.caltech.edu/seminars/high-energy-theory-seminars.