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UID:1154@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160325T110000
DTEND;TZID=Europe/Paris:20160325T120000
DTSTAMP:20160310T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/counting-torus-fibrations-on-a-
 k3-surface/
SUMMARY: (...): Counting torus fibrations on a K3 surface
DESCRIPTION:: Among all complex two-dimensional manifolds\, K3 surfaces are
  distinguished for having a wealth of extra structures. They admit dynamic
 ally interesting automorphisms\, have Ricci-flat metrics (by Yau's solutio
 n of the Calabi conjecture) and at the same time can be studied using alge
 braic geometry. Moreover\, their moduli spaces are locally symmetric varie
 ties and many questions about the geometry of K3s reduce to Lie-theoretic 
 ones.In this talk\, I will discuss the analogue on K3 surfaces of the foll
 owing asymptotic question in billiards - How many periodic billiard trajec
 tories of length at most L are there in a given polygon? The analogue of p
 eriodic trajectories will be special Lagrangian tori on a K3 surface. Just
  like for billiards\, such tori come in families and give torus fibrations
  on the K3.http://math.uchicago.edu/~sfilip/
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DTSTART:20151025T020000
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