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SUMMARY:Some geometric aspects of the theory of convex polytopes
DTSTART;VALUE=DATE-TIME:20131009T090000Z
DTEND;VALUE=DATE-TIME:20131009T100000Z
DTSTAMP;VALUE=DATE-TIME:20191205T144857Z
UID:indico-event-486@indico.math.cnrs.fr
DESCRIPTION:: I will discuss some examples where differential geometry\, t
opology and combinatorics of polyhedra can benefit from each other\, and r
eview some tools that make this possible. In particular\, I will focus on
the following two topics \n\n-- the Hirsch conjecture\, concerned with bou
nding the running time of the simplex algorithm\, and an application of CA
T(1)-geometry to this problem. \n\n-- two problems of Legendre--Steinitz a
nd Perles--Shephard concerning realization spaces of polytopes\, and their
solution based on solving discrete PDEs.\n\nAll notions will be introduce
d in the talk\; I intend to make a friendly introduction to the theory\, s
o non-experts are welcome.\n\nhttps://indico.math.cnrs.fr/event/486/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/486/
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