Maria Beatrice Pozzetti

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.