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SUMMARY:Tony Yue Yu (Caltech)
DTSTART:20211102T160000Z
DTEND:20211102T170000Z
DTSTAMP:20260423T021604Z
UID:DerSem/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/35/">
 Non-archimedean Quantum K-invariants</a>\nby Tony Yue Yu (Caltech) as part
  of Derived seminar\n\n\nAbstract\nWe construct quantum K-invariants in no
 n-archimedean analytic geometry. Our approach differs from the classical o
 ne in algebraic geometry via perfect obstruction theory. Instead\, we buil
 d on our previous works on the foundation of derived non-archimedean geome
 try\, the representability theorem and Gromov compactness. We obtain a lis
 t of natural geometric relations between the stacks of stable maps\, direc
 tly at the derived level\, with respect to elementary operations on graphs
 \, namely\, products\, cutting edges\, forgetting tails and contracting ed
 ges. They imply immediately the corresponding properties of K-theoretic in
 variants. The derived approach produces highly intuitive statements and fu
 nctorial proofs. The flexibility of our derived approach to quantum K-inva
 riants allows us to impose not only simple incidence conditions for marked
  points\, but also incidence conditions with multiplicities. This leads to
  a new set of enumerative invariants. Our motivations come from non-archim
 edean enumerative geometry and mirror symmetry. Joint work with M Porta.\n
LOCATION:https://researchseminars.org/talk/DerSem/35/
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