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X-FROM-URL:https://eom.sdu.dk/events/ical/219834b7-d613-40ff-80d5-19b9748c
 95bf
X-WR-CALNAME:QM Research Seminar: Elliptic classes via the periodic module
 \, and 3d-mirror symmetry.
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TZID:Europe/Copenhagen
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DTSTAMP:20260602T163402Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Changlong Zhong[/b] (State University of New York 
 at Albany) [nl]\n[b]Abstract:[/b][nl]\nEquivariant elliptic cohomology of
  symplectic resolutions was recently studied by Okounkov and his collabor
 ators. For example\, elliptic stable envelop is defined and it is closely
  related to geometric representation theory\, mathematical physics and 3d
  mirror symmetry. For the cotangent bundle T^*G/B\, it basically says tha
 t the restriction to torus fixed points of elliptic stable envelops are r
 elated with that for the Langlands dual. This is proved by Rimanyi-Weber.
  In this talk\, I will focus on the elliptic Demazure-Lusztig operators t
 hat generate the elliptic classes corresponding to elliptic stable envelo
 p. The (sheaf of) modules spanned by these classes are called the periodi
 c module. The main result of this talk will show that the elliptic Demazu
 re-Lusztig operators can be assembled together to obtain a canonical isom
 orphism between the periodic module and that for the Langlands dual syste
 m. In particular\, it recovers Rimanyi-Weber's result. This is joint work
  with C. Lenart and G. Zhao.\n[nl]
DTEND:20230828T140000Z
DTSTAMP:20260602T163402Z
DTSTART:20230828T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Elliptic classes via the periodic module\, an
 d 3d-mirror symmetry.
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