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SUMMARY:Miguel Moreira (ETH Zürich)
DTSTART:20220526T080000Z
DTEND:20220526T090000Z
DTSTAMP:20260423T021726Z
UID:HubEG/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HubEG/5/">We
 yl symmetry for curve counting invariants via spherical twists</a>\nby Mig
 uel Moreira (ETH Zürich) as part of Events Hub: Enumerative geometry\n\n\
 nAbstract\nAbstract: Let X be a Calabi-Yau 3-fold containing a ruled surfa
 ce W and let B be the homology class of the lines in the ruling. Physics s
 uggests that curve counting on X should satisfy some symmetry relating cur
 ves in classes β and β’=β+(W.β)B. In this talk I’ll explain how to
  make such a symmetry precise with a new rationality result for the Pandha
 ripande-Thomas invariants of X. Mathematically\, the symmetry is explained
  by a certain involution of the  derived category of X constructed using a
  particular spherical functor\; our proof is an instance of the general pr
 inciple that automorphisms of the derived category should constrain enumer
 ative invariants. This is joint work with Tim Buelles and it is highly ins
 pired in the proof of rationality for the PT generating series of an orbif
 old by Beentjes-Calabrese-Rennemo.\n\nZoom Meeting ID: 271 534 5558 Passco
 de: YMSC\n
LOCATION:https://researchseminars.org/talk/HubEG/5/
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