University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > (Leverhulme Lecture) Higher Teichmueller Theory: Geometric, Arithmetic, and non-Archimedean Aspects. Part 2 — On maximal representations

(Leverhulme Lecture) Higher Teichmueller Theory: Geometric, Arithmetic, and non-Archimedean Aspects. Part 2 — On maximal representations

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If you have a question about this talk, please contact Maurice Chiodo.

In this lecture we’ll concentrate on maximal representations 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 provide, and leads to Fenchel Nielsen coordinates describing components of maximal representations. We will then show how very classical facts from hyperbolic geometry in dimension two, like the collar lemma and the length inequalities obtained by splitting self-intersecting geodesics generalise to this context, while they fail for quasifuchsian representations into SL(2,C).

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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