Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Tuesday, July 20, 18:40 ~ 19:20 UTC-3

Generalized hyperpolygons, meromorphic Higgs bundles, and integrability

Steven Rayan

quanTA / University of Saskatchewan, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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. 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.

Joint work with Laura Schaposnik (University of Illinois at Chicago, USA).

View abstract PDF