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SUMMARY:Xiaohan Yan: K-Theoretic Gromov-Witten Invariants and q-Difference
  Equations
DTSTART:20260428T083000Z
DTEND:20260428T093000Z
DTSTAMP:20260409T175100Z
UID:indico-event-16211@indico.math.cnrs.fr
DESCRIPTION:The Gromov-Witten invariants are symplectic/algebraic invarian
 ts defined by counting curves. Their generating functions naturally satisf
 y some differential equations\, and play a crucial role in 2D mirror symme
 try. In this talk\, I discuss a K-theoretic version of the Gromov-Witten i
 nvariants\, and present my work on the generating function of genus-zero K
 -theoretic Gromov-Witten invariants of type-A partial flag varieties. Such
  generating function satisfies some q-difference equations and arise in 3D
  mirror symmetry instead. My method involves the idea of abelian/non-abeli
 an correspondence and applies potentially to more general GIT quotients.\n
 \nhttps://indico.math.cnrs.fr/event/16211/
URL:https://indico.math.cnrs.fr/event/16211/
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