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SUMMARY:Maxime Fortier Bourque (Université de Montréal)
DTSTART:20230217T160000Z
DTEND:20230217T171500Z
DTSTAMP:20260423T035926Z
UID:CIRGET/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/92/">
 The systole of hyperbolic surfaces</a>\nby Maxime Fortier Bourque (Univers
 ité de Montréal) as part of CRM - Séminaire du CIRGET / Géométrie et 
 Topologie\n\nLecture held in PK-5115.\n\nAbstract\nThe systole of a Rieman
 nian manifold is defined as the infimal length of its closed geodesics tha
 t are not contractible and was studied by Berger and Gromov in the 70's an
 d 80's. In this talk\, I will survey recent results on the systole of clos
 ed hyperbolic surfaces. In particular\, I will explain how to construct a 
 surface out of polygons glued along a graph in a way that we can determine
  its systole. Variants of this construction yield numerous local maxima fo
 r the systole\, critical points of lower index than expected\, and are use
 d to prove that the dimension of a certain set defined by Thurston is larg
 er than hoped.\n
LOCATION:https://researchseminars.org/talk/CIRGET/92/
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