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UID:20260829T004917EDT-5724IEKhmD@132.216.98.100
DTSTAMP:20260829T044917Z
DESCRIPTION:Title: The Loop-Nilpotent Cohomological Hall Algebra and Coulom
 b Branches\n\nAbstract: Given a quiver with potential\, Kontsevich and Soi
 belman defined its cohomological Hall algebra (CoHA) as a mathematical mod
 el for the algebra of BPS states. Since then\, CoHAs have been found to ha
 ve connections with several areas of mathematics\, including cohomological
  Donaldson–Thomas theory\, quantum groups\, non-abelian Hodge theory\, and
  cluster algebras. In certain cases\, dimensional reduction identifies the
  CoHA with a preprojective CoHA\, an algebra that appears naturally in the
  Schiffmann–Vasserot proof of the AGT conjecture and in the study of Nakaj
 ima quiver varieties.\n\nThe aim of this talk is to introduce a mix of the
 se constructions\, which we call the loop-nilpotent CoHA. We will describe
  this algebra using shuffle algebras. As a consequence\, we characterize t
 he preprojective BPS Lie algebra as a Lie subalgebra of a space of symmetr
 ic polynomials cut out by explicit degree and divisibility conditions. We 
 then show that the loop-nilpotent CoHA is a universal algebra admitting a 
 surjective homomorphism onto one half of a quantized Coulomb-branch algebr
 a. This is joint work with Andrei Neguț.\n\n \n
DTSTART:20260824T200000Z
DTEND:20260824T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Shivang Jindal (EPFL)
URL:https://www.mcgill.ca/mathstat/channels/event/shivang-jindal-epfl-37393
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