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SUMMARY:Joel Kamnitzer (University of Toronto)
DTSTART:20211020T230000Z
DTEND:20211021T003000Z
DTSTAMP:20260412T204100Z
UID:SAGO/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SAGO/12/">Sy
 mplectic duality and (generalized) affine Grassmannian slices</a>\nby Joel
  Kamnitzer (University of Toronto) as part of Algebra Seminar (presented b
 y SMRI)\n\n\nAbstract\nUnder the geometric Satake equivalence\, slices in 
 the affine Grassmannian give\na geometric incarnation of dominant weight s
 paces in representations of reductive\ngroups.  These affine Grassmannian 
 slices are quantized by algebras known as truncated\nshifted Yangians.  Fr
 om this perspective\, we expect to categorify these weight spaces\nusing c
 ategory O for these truncated shifted Yangians.  \n\nThe slices in the aff
 ine Grassmannian and truncated shifted Yangians can also be defined\nas sp
 ecial cases of the Coulomb branch construction of Braverman-Finkelberg-Nak
 ajima.\nFrom this perspective\, we find many insights.  First\, we can gen
 eralize affine\nGrassmannian slices to the case of non-dominant weights an
 d arbitrary symmetric\nKac-Moody Lie algebras.  Second\, we establish a li
 nk with modules for KLRW algebras.\nFinally\, we defined a categorical g-a
 ction on the categories O\, using Hamiltonian\nreduction.\n
LOCATION:https://researchseminars.org/talk/SAGO/12/
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