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SUMMARY:Nikita Nikolaev (Sheffield)
DTSTART:20210916T130000Z
DTEND:20210916T140000Z
DTSTAMP:20260423T005801Z
UID:notts_ag/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/78/
 ">Abelianisation of Meromorphic Connections</a>\nby Nikita Nikolaev (Sheff
 ield) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstrac
 t\nThere is a natural 1-1 correspondence between Higgs bundles on a compac
 t complex curve and line bundles on an appropriate branched cover. This ab
 elianisation process goes through the direct image functor and it has been
  fruitful in addressing a variety of problems relating to bundles on curve
 s. We extend this abelianisation correspondence from Higgs bundles to flat
  bundles. This generalisation involves choosing a certain graph which tran
 slates to cohomology as a natural cocycle that exhibits a local deformatio
 n of the direct image functor. Furthermore\, our abelianisation correspond
 ence extends to lambda-connections and recovers the abelianisation of Higg
 s bundles as lambda goes to 0. Based in part on joint work in progress wit
 h Marco Gualtieri.\n
LOCATION:https://researchseminars.org/talk/notts_ag/78/
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