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SUMMARY:Daniel Tsodikovich (Tel Aviv University)
DTSTART:20211027T111000Z
DTEND:20211027T123000Z
DTSTAMP:20260423T005734Z
UID:GDS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/38/">Bil
 liard Tables with rotational symmetry</a>\nby Daniel Tsodikovich (Tel Aviv
  University) as part of Geometry and Dynamics seminar\n\n\nAbstract\nConsi
 der the following simple geometric fact: the only centrally symmetric \nco
 nvex curve of constant width is a circle. The condition of having constant
  \nwidth is equivalent for the (Birkhoff) billiard map to have a 1-paramet
 er \nfamily of two periodic orbits. We generalize this statement to curves
  that \nare invariant under a rotation by angle $\\frac{2\\pi}{k}$\,  for 
 which the \nbilliard map has a 1-parameter family of k-periodic orbits. We
  will also \nconsider a similar setting for other billiard systems: outer 
 billiards\, \nsymplectic billiards\, and (a special case of) Minkowski bil
 liards. \nJoint work with Misha Bialy.\n
LOCATION:https://researchseminars.org/talk/GDS/38/
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