Steven Rayan

(Department of Mathematics, University of Saskatchewan)

Asymptotic geometry of hyperpolygons

Date: Thursday, February 1, 2018

Nakajima quiver varieties lie at the interface of geometry and representation theory. I will discuss a particular example, hyperpolygon space, which arises from star-shaped quivers. The simplest of these varieties is a noncompact complex surface admitting the structure of an "instanton", and therefore fits nicely into the Kronheimer--Nakajima classification of ALE hyperkaehler \(4\)-manifolds, which is a geometric realization of the McKay correspondence for finite subgroups of \(SU(2)\). For more general hyperpolygon spaces, we can speculate on how this classification might be extended by studying the geometry of hyperpolygons at "infinity".

Important Dates

March 30: Good Friday (University Closed)

April 1: Easter Sunday (University Closed)

April 6: Last day of classes for Winter term

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