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SUMMARY:Dmitry Faifman (Tel Aviv University)
DTSTART:20210317T121000Z
DTEND:20210317T133000Z
DTSTAMP:20260423T022714Z
UID:GDS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/26/">Aro
 und the Funk metric and its billiards</a>\nby Dmitry Faifman (Tel Aviv Uni
 versity) as part of Geometry and Dynamics seminar\n\n\nAbstract\nThe Funk 
 metric in the interior of a convex body is a lesser known \nrelative of th
 e projectively-invariant Hilbert metric\, yet in some \nways simpler and m
 ore natural. Starting with a few simple observations\, \nwe will explore s
 ome Funk-inspired generalizations of well-known \nresults in the geometry 
 of normed spaces and Minkowski billiards\, \nsuch as Sch\\"affer's dual gi
 rth conjecture and the Gutkin-Tabachnikov \nduality. I will also offer a F
 unk approach to the integrability of the \nhyperbolic billiard in a conic.
  Time permitting\, I will discuss the \nvolume of metric balls in Funk geo
 metry\, leading to a generalization \nof the Blaschke-Santalo inequality.\
 n
LOCATION:https://researchseminars.org/talk/GDS/26/
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