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TZID:Europe/Paris
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UID:6846@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200121T110000
DTEND;TZID=Europe/Paris:20200121T120000
DTSTAMP:20241120T202027Z
URL:https://www.i2m.univ-amu.fr/evenements/dennis-eriksson-genus-one-mirro
 r-symmetry/
SUMMARY: (...): Dennis ERIKSSON - Genus one mirror symmetry
DESCRIPTION:: Dennis ERIKSSON (Chalmers University of Technology\, Götebor
 g)\n\nMirror symmetry\, in a crude formulation\, is usually presented as a
  correspondence between curve counting on a Calabi--Yau variety X\, and so
 me invariants extracted from a mirror family of Calabi--Yau varieties. Aft
 er the physicists Bershadsky--Cecotti--Ooguri--Vafa (henceforth BCOV)\, th
 is is organised according to the genus of the curves in X we wish to enume
 rate\, and gives rise to an infinite recurrence of differential equations.
  In this talk\, I will give a general introduction to these problems\, and
  present a rigorous mathematical formulation of the BCOV conjecture at gen
 us one\, in terms of a lifting of the Grothendieck--Riemann--Roch. I will 
 explain a proof of the conjecture for Calabi--Yau hypersurfaces in project
 ive space\, based on the Riemann--Roch theorem in Arakelov geometry. Our r
 esults generalise from dimension 3 to arbitrary dimensions previous work o
 f Fang--Lu--Yoshikawa.This is joint work with G. Freixas and C. Mourougane
 .\n\n&nbsp\;
CATEGORIES:Séminaire,Géométrie Complexe
LOCATION:I2M Chateau-Gombert - CMI\, Salle C006\, 39 Rue Joliot Curie\, Mar
 seille\, 13013\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, Marse
 ille\, 13013\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Chateau-Gombert - CMI
 \, Salle C006:geo:0,0
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DTSTART:20191027T020000
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