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X-WR-CALNAME:Mirror counts of spectral curves
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DTSTAMP:20260911T155800Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker​ Minghuan Hu[/b]\, ​SDU-QM\n\n​Given a toric surfac
 e\, we count rational nodal curves passing through fixed points on the to
 ric boundary\, which can be realized as a log Gromov-Witten invariant. Fo
 llowing the idea of Yau-Zaslow\, this count coincides with the Euler numb
 er of the moduli space of a family of compactified Jacobians. Using homol
 ogical mirror symmetry\, we identify this space with the moduli space of 
 constructible sheaves microsupported in a Legendrian link. We then show t
 hat this moduli space admits a stratification called ``ruling decompositi
 on''\, and thereby computes its Euler number using combinatorial data. We
  conjecture that the ruling decomposition also recovers higher-genus inva
 riants. This is a joint work with Tom Graber and Eric Zaslow.
DTEND:20260915T140000Z
DTSTAMP:20260911T155800Z
DTSTART:20260915T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:Mirror counts of spectral curves
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