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SUMMARY:Harold Williams (USC)
DTSTART:20201214T200000Z
DTEND:20201214T210000Z
DTSTAMP:20260423T021451Z
UID:WHCGP/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/19/">C
 anonical Bases for Coulomb Branches</a>\nby Harold Williams (USC) as part 
 of Western Hemisphere colloquium on geometry and physics\n\n\nAbstract\nFo
 llowing work of Kapustin-Saulina and Gaiotto-Moore-Neitzke\, one expects h
 alf-BPS line defects in a 4d N=2 field theory to form a monoidal category 
 with a rich structure. In general\, a mathematical definition of this cate
 gory is not known. In this talk we discuss an algebro-geometric proposal i
 n the case of gauge theories with polarizable matter. The proposed categor
 y is the heart of a nonstandard t-structure on the dg category of coherent
  sheaves on the derived Braverman-Finkelberg-Nakajima space of triples. We
  refer to its objects as Koszul-perverse coherent sheaves\, as this t-stru
 cture interpolates between the perverse coherent t-structure and certain t
 -structures appearing in the theory of Koszul duality (specializing to the
 se in the case of a pure gauge theory and an abelian gauge theory\, respec
 tively). As a byproduct\, this defines a canonical basis in the associated
  quantized Coulomb branch by passing to classes of irreducible objects. Th
 is is joint work with Sabin Cautis.\n
LOCATION:https://researchseminars.org/talk/WHCGP/19/
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