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UID:4923@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20231020T110000
DTEND;TZID=Europe/Paris:20231020T120000
DTSTAMP:20241207T131633Z
URL:https://www.i2m.univ-amu.fr/evenements/geodesic-representatives-pat-ho
 oper/
SUMMARY:Pat Hooper (...): Geodesic representatives on surfaces without metr
 ics
DESCRIPTION:Pat Hooper: Geodesic representatives on surfaces without metric
 s\nA translation surface is a singular geometric structure on a surface mo
 deled on the plane where transition maps are translations. Some recent res
 earch has focused on extending results known for translation surfaces to d
 ilation surfaces\, where we broaden allowable transition maps to include d
 ilations of the plane. Such surfaces do not have natural metrics\; however
 \, one can ask: “Are there natural analogs of geodesic representatives i
 n this context?” Relatedly\, translation surfaces which are not closed (
 e.g.\, infinite genus surfaces) may or may not have geodesic representativ
 es in every homotopy class. We will describe conditions on surfaces that g
 uarantee that canonical representatives of homotopy classes of curves exis
 t. In doing so\, we realize that even less structure is needed: we describ
 e a class of geometric structures on surfaces that are not modeled on the 
 plane at all\, but still have canonical curve representatives. This is joi
 nt work with Ferrán Valdez and Barak Weiss.\n&nbsp\;
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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