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SUMMARY:Alexei Oblomkov (U. Mass)
DTSTART:20221005T200000Z
DTEND:20221005T210000Z
DTSTAMP:20260423T021107Z
UID:MITLie/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/60/">
 Affine Springer fibers and sheaves on Hilbert scheme of points on the plan
 e.</a>\nby Alexei Oblomkov (U. Mass) as part of MIT Lie groups seminar\n\n
 Lecture held in 2-142 in the Simons building.\n\nAbstract\nMy talk is base
 d on the joint work with E. Gorsky and O. Kivinen.\nI will explain a const
 ruction that associates a coherent sheaf on the\nHilbert scheme of points 
 on the plane to plane curve singularity. The\nglobal sections of the sheaf
  are equal to cohomology of the\ncorresponding Affine  (type A) Springer f
 iber. The construction\ncategorifies  HOMFLYPT homology/cohomogy of compac
 tified Jacobian\nconjecture if combined with Soergel bimodule/ Sheaves of 
 Hilbert\nscheme theorem of Oblomkov-Rozansky. I will also discuss\ngeneral
 izations outside of type A.\n
LOCATION:https://researchseminars.org/talk/MITLie/60/
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