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SUMMARY:Fixed-domain curve counts for blow-ups of projective space
DTSTART:20230330T131500
DTEND:20230330T150000
DTSTAMP:20260428T021448Z
UID:22fefec69d405b15b081f4b283d53e1b4775fbd1ab0cd8dee4f48243
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alessio Cela\, ETHZ\nIn this talk I will explain some new resu
 lts about the problem of counting pointed curves of fixed complex struct
 ure in blow-ups of projective space at general points. The geometric and t
 he virtual Gromov-Witten counts in genus 0 and in higher genus for large
  anti-canonical degree curve classes agree in the Fano (and some $(-K)$-
 nef) examples\, but not in general. For toric blow-ups\, geometric counts
  can be expressed in terms of integrals on products of Jacobians and sy
 mmetric products of the domain curves\, and evaluated explicitly in genus 
 0 and in the case of Bl_q(P^r)\, obtaining very simple closed formulas.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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