Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) : acg,
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : vincent.michel@imj-prg.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie
Description

Orateur(s) Gou Nakamura - IMJ,
Titre Compact hyperbolic surfaces with extremal discs
Date06/10/2015
Horaire14:00 à 15:00
RésumeA compact hyperbolic surface S of genus g is said to be extremal if it admits an extremal disc, a disc of the largest radius determined by g, where genus g is the number of handles if S is orientable (i.e. a Riemann surface); or the number of cross caps if S is non-orientable (i.e. a Klein surface). A natural question arising here is how many extremal discs are embedded in extremal surfaces. If S is orientable, we know the answer for every genus. In this talk we answer the question in the case that S is a non-orientable surface of genus 6, the final genus in our interest, and present all extremal surfaces admitting more than one extremal disc. The locus of every extremal disc is also obtained. Furthermore we determine the groups of automorphisms for these surfaces.
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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