6 apr 2016 -- 14:15
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
In a recent work with Nicolas Tholozan, aiming at refining the classical Milnor-Wood inequality on character varieties, we have discovered a new class of representations, that we have called super-maximal.
I will introduce them and show some of their properties. We will see that
(i) they are totally non-hyperbolic, i.e. simple closed curves are mapped to non-hyperbolic elements of PSL(2,R);
(ii) they are geometrizable in a very strong sense by conical metrics;
(iii) they define compact components in certain relative character varieties, hence generalizing a construction of Benedetto-Goldman.