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SUMMARY:Laura Schaposnik (University of Illinois at Chicago\, USA)
DTSTART:20200723T120000Z
DTEND:20200723T130000Z
DTSTAMP:20260423T024756Z
UID:LAGOON/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/12/">
 On Generalized Hyperpolygons</a>\nby Laura Schaposnik (University of Illin
 ois at Chicago\, USA) as part of Longitudinal Algebra and Geometry Open ON
 line Seminar (LAGOON)\n\n\nAbstract\nIn this talk we will introduce genera
 lized hyperpolygons\, which arise as Nakajima-type representations of a co
 met-shaped quiver\, following a recent work joint with Steven Rayan. After
  showing how to identify these representations with pairs of polygons\, we
  shall associate to the data an explicit meromorphic Higgs bundle on a gen
 us g Riemann surface\, where g is the number of loops in the comet. We sha
 ll see that\, under certain assumptions on flag types\, the moduli space o
 f generalized hyperpolygons admits the structure of a completely integrabl
 e Hamiltonian system. Time permitting\, we shall conclude the talk by ment
 ioning some partial results on current work on the construction of triple 
 branes (in the sense of Kapustin-Witten mirror symmetry)\, and dualities b
 etween tame and wild Hitchin systems (in the sense of Painlevé transcende
 nts).\n
LOCATION:https://researchseminars.org/talk/LAGOON/12/
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