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SUMMARY:Counting torus fibrations on a K3 surface - Simion Filip\, Chicago
DTSTART:20160302T160000Z
DTEND:20160302T170000Z
UID:TALK60831@talks.cam.ac.uk
CONTACT:Ivan Smith
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.\nIn this talk\, I will discuss the analogue on K3 surfaces of the fo
 llowing asymptotic question in billiards - How many periodic billiard traj
 ectories of length at most L are there in a given polygon? The analogue of
  periodic trajectories will be special Lagrangian tori on a K3 surface. Ju
 st like for billiards\, such tori come in families and give torus fibratio
 ns on the K3.\n
LOCATION:MR13
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