100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Maria Beatrice Pozzetti

Ultralimits of maximal representations
Jeudi, 8 Octobre, 2015 - 14:00
Résumé : 

A representation from the fundamental group of a surface in a symplectic group Sp(2n,R) is maximal if it maximize the socalled Toledo invariant. Maximal representations form interesting and well studied components of the character variety generalizing the Teichmuller components for n=2. Given an unbounded sequence of maximal representations one naturally gets an action on an affine building. I will describe some geometric properties of such actions, dealing in particular with the structure of
elements acting with a fixed point. Joint work with Marc Burger.

Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
Salle 04
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