High Energy Theory Seminar
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.