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X-FROM-URL:https://eom.sdu.dk/events/ical/66ac0f0b-c545-455a-8771-304dbef7
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X-WR-CALNAME:QM Research Seminar: Mirror counts of spectral curves
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DTSTAMP:20261112T113844Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker​ Minghuan Hu [/b](Centre for Quantum Mathematics)\n
 \n[b]Abstract:[/b] ​\nGiven a toric surface\, we count rational nodal cur
 ves passing through fixed points on the toric boundary\, which can be rea
 lized as a log Gromov-Witten invariant. Following the idea of Yau-Zaslow\
 , this count coincides with the Euler number of the moduli space of a fam
 ily of compactified Jacobians. Using homological mirror symmetry\, we ide
 ntify this space with the moduli space of constructible sheaves microsupp
 orted in a Legendrian link. We then show that this moduli space admits a 
 stratification called ``ruling decomposition''\, and thereby computes its
  Euler number using combinatorial data. We conjecture that the ruling dec
 omposition also recovers higher-genus invariants. This is a joint work wi
 th Tom Graber and Eric Zaslow.
DTEND:20260915T140000Z
DTSTAMP:20261112T113844Z
DTSTART:20260915T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Mirror counts of spectral curves
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