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SUMMARY:A coherent-constructible correspondence for affine Springer fibers
DTSTART:20210923T141500
DTEND:20210923T160000
DTSTAMP:20260407T010323Z
UID:c598a8dc0a126cc64ab268ca423f73020ad9f86ffcd0e7c73b82c5b7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Oscar Kivinen (EPFL)\nAffine Springer fibers are moduli spaces
  whose geometry plays an important role in a variety of things - for exam
 ple orbital integrals on reductive groups\, singularities of the Hitchi
 n fibration\, and representations of double affine Hecke algebras. The phy
 sics of 3d mirror symmetry suggests a certain equivalence of categories o
 f constructible and coherent sheaves on a partial resolution of the commu
 ting variety (PRCV)\, and following the physical heuristics it is possible
  to distill a particular case of this equivalence to a mathematical const
 ruction of a (quasi-)coherent sheaf on the PRCV\, starting from an affine 
 Springer fiber. In the first 30 minutes\, I will give an elementary intro
 duction to affine Springer fibers and related geometry. In the second part
  of the talk I will introduce BFN-Coulomb branches and the commuting vari
 ety\, as well as explain the construction and some of its consequences in
  detail.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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