BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alexey Oblomkov (University of Massachusetts)
DTSTART:20210420T180000Z
DTEND:20210420T190000Z
DTSTAMP:20260423T040216Z
UID:AG-Davis/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/32/
 ">Soergel bimodules and sheaves on the Hilbert scheme of points on plane</
 a>\nby Alexey Oblomkov (University of Massachusetts) as part of UC Davis a
 lgebraic geometry seminar\n\n\nAbstract\nBased on joint work with Rozansky
 . In my talk I outline a construction that produces a $\\mathbb{C}^*\\time
 s\\mathbb{C}^*$-equivariant complex of\nsheaves $S_b$ on $Hilb_n(\\mathbb{
 C}^2)$ such that the space of global sections $H^*(S_b)$\nof the complex a
 re the Khovanov-Rozansky homology of the closure of the braid $b$.\nThe co
 nstruction is functorial with respect to adding a full twist to the braid.
  Thus we prove a weak version of the conjecture by Gorsky-Negut-Rasmussen.
 \nIn the heart of our construction is a fully faithful functor from the ca
 tegory of Soergel bimodules to a particular category of matrix factorizati
 ons.\nI will keep the matrix factorization part minimal and concentrate on
  the main idea of the construction as well as key properties of the catego
 ries that we use.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/32/
END:VEVENT
END:VCALENDAR