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DTSTART:20250330T030000
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DTSTAMP:20260406T000415Z
UID:648ae4751654b012976680@ist.ac.at
DTSTART:20241031T130000
DTEND:20241031T150000
DESCRIPTION:Speaker: Xiaohan Yan\nhosted by Tamas Hausel\nAbstract: The Gro
 mov-Witten theory studies enumerative invariants of a projective variety $
 X$ through counting nodal curves\, and gives a family of deformed multipli
 cation structures on the cohomology of $X$\, known as the quantum cohomolo
 gy. For flag variety $X=G/B$\, relations in its quantum cohomology may be 
 obtained through studying the differential equations solved by the generat
 ing function known as the J-function\, which in turn come from the Toda la
 ttice system of the Langlands dual group of $G$. In the first part of this
  talk\, we review the story above. In the second part of this talk\, we di
 scuss how much of it still holds in K-theoretic settings\, where quantum K
 -theory will replace quantum cohomology\, and difference equations will re
 place differential equations. Quantum K-theory arises naturally in the fra
 mework of 3D mirror symmetry\, a duality between mirror holomorphic symple
 ctic varieties.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Xiaohan Yan: Quantum K-theory of flag varieties
URL:https://talks-calendar.ista.ac.at/events/5351
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