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SUMMARY:Miguel Moreira (Instituto Superior Técnico)
DTSTART:20260915T140000Z
DTEND:20260915T150000Z
DTSTAMP:20260914T084058Z
UID:Geolis/183
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/183/"
 >Counting curves on 3-folds: correspondences and rationality</a>\nby Migue
 l Moreira (Instituto Superior Técnico) as part of Geometria em Lisboa (IS
 T)\n\nInteractive livestream: https://tecnico-pt.zoom.us/j/99502712310\n\n
 Abstract\nThe subject of counting curves on 3-folds is extremely rich. Mod
 ern tools allow us to define several sophisticated invariants that we thin
 k of as "curve counts"\, such as Gromov-Witten\, Donaldson-Thomas\, Pandha
 ripande-Thomas and Gopakumar-Vafa invariants. They are proven or expected 
 to be equivalent to each other\, in a precise sense. In this talk\, I will
  give an idea of how these invariants are defined and what is known about 
 them\, focusing on these correspondences and rationality properties. Along
  the way\, I'll explain a result of myself with Ivan Karpov concerning the
  rationality of PT generating series on Fano 3-folds\; other than that\, t
 he talk will be mostly expository.\n
LOCATION:https://researchseminars.org/talk/Geolis/183/
URL:https://tecnico-pt.zoom.us/j/99502712310
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