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UID:6e5389172bc6b24410867c7d89bbefb6
CATEGORIES:Special Colloquium
CREATED:20221028T103928
SUMMARY:Lewis lectures I - Polygonal outer billiards
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract:  In this talk I'll discuss polygonal outer billiards, a dynamical
  system that is similar in some ways to ordinary billiards except that it i
 s played on the outside of a convex polygon in the plane.  For the most par
 t I'll explain my solution to the Moser-Neumann problem, which asks if an o
 uter billiards system can have unbounded orbits. (Yes, for kite-shaped quad
 rilaterals.)  I'll demonstrate the ideas in the proof using software I deve
 loped to study this problem.  This is work I did around 15 years ago, but i
 t is still my favorite thing to talk about. Towards the end of the talk, I'
 ll try to indicate some of the more recent work I've done, which amounts to
  building a coarse combinatorial model for the unbounded outer billiards or
 bits I found.<br />
CONTACT:Richard Schwartz - Brown University
DTSTAMP:20260827T153052
DTSTART;TZID=America/New_York:20221107T140000
DTEND;TZID=America/New_York:20221107T150000
SEQUENCE:0
TRANSP:OPAQUE
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