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SUMMARY:Joel Kamnitzer (University of Toronto)
DTSTART:20201005T180000Z
DTEND:20201005T190000Z
DTSTAMP:20260423T021506Z
UID:UMassRep/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UMassRep/7/"
 >BFN Springer theory</a>\nby Joel Kamnitzer (University of Toronto) as par
 t of UMass Amherst Representation theory seminar\n\n\nAbstract\nGiven a re
 presentation of a reductive group\,\nBraverman-Finkelberg-Nakajima have de
 fined a remarkable Poisson\nvariety called the Coulomb branch. Their const
 ruction of this space\nwas motivated by considerations from supersymmetric
  gauge theories and\nsymplectic duality. The coordinate ring of this Coulo
 mb branch is\ndefined as a kind of cohomological Hall algebra.\n\nWe devel
 op a theory of Springer fibres related to\nBraverman-Finkelberg-Nakajima's
  construction.  We use these Springer\nfibres to construct modules for\n(q
 uantized) Coulomb branch algebras.  In doing so\, we partially prove a\nco
 njecture of Baumann-Kamnitzer-Knutson and give evidence for\nconjectures o
 f Hikita\, Nakajima\, and Kamnitzer-McBreen-Proudfoot.  We\nalso prove a r
 elation between BFN Springer fibres and quasimap spaces\n
LOCATION:https://researchseminars.org/talk/UMassRep/7/
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