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SUMMARY:Andrey Smirnov (UNC)
DTSTART:20210119T190000Z
DTEND:20210119T200000Z
DTSTAMP:20260423T024750Z
UID:AG-Davis/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/16/
 ">Elliptic stable envelope for Hilbert scheme of points in the complex pla
 ne and 3D mirror symmetry</a>\nby Andrey Smirnov (UNC) as part of UC Davis
  algebraic geometry seminar\n\n\nAbstract\nIn this talk I discuss the elli
 ptic stable envelope classes of torus fixed points in the Hilbert scheme o
 f points in the complex plane. I describe the 3D-mirror self-duality of th
 e elliptic stable envelopes. The K-theoretic limits of these classes provi
 de various special bases in the space of symmetric polynomials\, including
  well known bases of Macdonald or Schur functions. The mirror symmetry the
 n translates to new symmetries for these functions. In particular\, I outl
 ine a proof of conjectures by E.Gorsky and A.Negut on "Infinitesimal chang
 e of stable basis''\, which relate the wall R-matrices of the Hilbert sche
 me with the Leclerc-Thibon involution for \n$U_q(\\mathfrak{gl}_b).$\n
LOCATION:https://researchseminars.org/talk/AG-Davis/16/
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