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SUMMARY:Dougal Davis (Edinburgh)
DTSTART:20201207T110000Z
DTEND:20201207T120000Z
DTSTAMP:20260423T024507Z
UID:OxGeom/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OxGeom/7/">T
 wo perspectives on the stack of principal bundles on an elliptic curve and
  its slices</a>\nby Dougal Davis (Edinburgh) as part of Oxford Geometry an
 d Analysis Seminar\n\n\nAbstract\nLet G be a reductive group\, E an ellipt
 ic curve\, and Bun_G the moduli stack of principal G-bundles on E. In this
  talk\, I will attempt to explain why Bun_G is a very interesting object f
 rom the perspectives of both singularity theory on the one hand\, and shif
 ted symplectic geometry and representation theory on the other. In the fir
 st part of the talk\, I will explain how to construct slices of Bun_G thro
 ugh points corresponding to unstable bundles\, and how these are linked to
  certain singular algebraic surfaces and their deformations in the case of
  a "subregular" bundle. In the second (probably much shorter) part\, I wil
 l discuss the shifted symplectic geometry of Bun_G and its slices. If time
  permits\, I will sketch how (conjectural) quantisations of these structur
 es should be related to some well known algebras of an "elliptic" flavour\
 , such as Sklyanin and Feigin-Odesskii algebras\, and elliptic quantum gro
 ups.\n
LOCATION:https://researchseminars.org/talk/OxGeom/7/
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