Seminar on low-dimensional mathematics Friday March 24, beginning at 17:00 (!), room 203 (!) Yves Laszlo (Paris, Polytechnique) Representations of the fundamental groups of algebraic curves in positive characteristic The link between represenations of the fundamental group of Riemann surfaces and vector bundles is well known (Weil, Narasimhan and Seshadri) although non trivial. In positive characteristic, the sitution is much more complicated. For instance, the fundamental group almost uniquely determines the curve (Raynaud, Tamagawa), in contrast with the complex case where it only determines the genus. We will discuss these questions with a special attention to the case of positive characteristic. --- http://www.pdmi.ras.ru/~lowdimma