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SUMMARY:Infinite staircases in symplectic embedding capacity functions - A
 na Rita Pires\, Cambridge
DTSTART:20171101T160000Z
DTEND:20171101T170000Z
UID:TALK74551@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:McDuff and Schlenk studied an embedding capacity function\, wh
 ich describes when a 4-dimensional ellipsoid can symplectically embed into
  a 4-ball. The graph of this function includes an infinite staircase relat
 ed to the odd index Fibonacci numbers. Infinite staircases have been shown
  to exist also in the graphs of the embedding capacity functions when the 
 target manifold is a polydisk or the ellipsoid E(2\,3).\nI will describe h
 ow we use ECH capacities\, lattice point counts and Ehrhart theory to show
  that infinite staircases exist for these and a few other target manifolds
 \, as well as to conjecture that these are the only such target manifolds.
  This is a joint work with Cristofaro-Gardiner\, Holm and Mandini.
LOCATION:MR13
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