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CATEGORIES:Geometric Group Theory (GGT) Seminar
SUMMARY:(Leverhulme Lecture) Higher Teichmueller Theory: G
 eometric\, Arithmetic\, and non-Archimedean Aspect
 s. Part 2 —  On maximal representations - Marc Bur
 ger (ETH Zurich)
DTSTART;TZID=Europe/London:20170317T134500
DTEND;TZID=Europe/London:20170317T150000
UID:TALK71327AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71327
DESCRIPTION:In this lecture we'll concentrate on maximal repre
 sentations into Sp(2n\,R) and explain the role of 
 bounded cohomology in their study: this allows to 
 extend the notion of maximality  to surfaces with 
 boundary\, which classical cohomology would not pr
 ovide\, and leads to Fenchel Nielsen coordinates d
 escribing components of maximal representations. W
 e will then show how very classical facts from hyp
 erbolic geometry in dimension two\, like the colla
 r lemma and the length inequalities obtained by sp
 litting self-intersecting geodesics generalise to 
 this context\, while they fail for quasifuchsian r
 epresentations into SL(2\,C).
LOCATION:CMS MR13
CONTACT:Maurice Chiodo
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