The moduli space of representations of the fundamental group of a bordered surface into a Lie group is known to be a Poisson manifold, with symplectic leaves given by restricting boundary conjugacy classes. We will present the explicit approach of Alekseev, Malkin, Meinrenken and Kosmann-Schwarzbach to understand this Poisson structure via quasi-Poisson structure and our work www.unige.ch/math/folks/nie/index/these.pdf on a generalization of Goldman's formula to the quasi-Poisson setting. We will explain how this gives rise to (quasi-)Poisson algebras of paths on a bordered surface, obtained recently by Massuyeau-Turaev and Labourie, and the relationship with the Poisson structure of Fock and Goncharov. This work has some overlap with that of David Li-Bland and Pavol Severa arxiv.org/abs/1212.2097
Dienstag, den 3. Dezember 2013 um 13:30 Uhr, in INF 288, HS5 Dienstag, den 3. Dezember 2013 at 13:30, in INF 288, HS5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Dr. Anna Wienhard