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SUMMARY:Andrzej Weber (University of Warsaw)
DTSTART:20211209T130000Z
DTEND:20211209T150000Z
DTSTAMP:20260423T005800Z
UID:AGNTISTA/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/46/
 ">Elliptic characteristic classes of Schubert varieties and duality</a>\nb
 y Andrzej Weber (University of Warsaw) as part of Algebraic Geometry and N
 umber Theory seminar - ISTA\n\n\nAbstract\nWe modify the theory of Borisov
  and Libgober to define equivariant characteristic classes of Schubert var
 ieties in the generalized flag varieties G/B. The resulting classes can be
  considered as functions depending on two sets of parameters: equivariant 
 variables and Kaehler variables. There are two recursions which allow to c
 ompute inductively these classes: right recursion corresponding to geometr
 ic Demazure-Lusztig operation and left recursion induced by the R-matrix a
 ppearing in Yang-Baxter equation. When one passes from a group G to its La
 nglands' dual the recursions switch they roles. This allows to show that e
 quivariant elliptic classes for Langlands dual groups coincide after a swa
 p of equivariant variables with Kaehler variables. This duality is only on
  the numerical level. The geometric cause remains mysterious.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/46/
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