Marc Burger: Maximal representations, non Archimedean Siegel spaces, and buildings
Title: Maximal representations, non Archimedean Siegel spaces, and buildings.
Abstract: Maximal representations of the fundamental group G of a compact surface S into a real symplectic group Sp(V) are natural generalisations of the holonomy representations of G into SL(2,R) associated to hyperbolic structures on S. Maximal representations are injective, have discrete image, and their images in Sp(V) can be seen as higher rank analogues of Kleinian groups. A lot of activity in the last decade has been devoted to understand which features of classical hyperbolic geometry and Teichmueller spaces generalize to this setting. In this talk I will report on joint work with Beatrice Pozzetti, we study the structure of representations associated to points in the real spectrum compactification of the semi-algebraic set formed by characters of maximal representations. The talk will be accessible to a general audience.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Josip Globevnik in Franc Forstnerič
