University of Toronto's Symplectic Geometry Seminar

September 28, 2009, 2:10 pm
Bahen 6183

Vikraman Balaji

Chennai Math Institute

Analogue of the Narasimhan-Seshadri theorem in higher dimensions and holonomy


We will discuss some recent work on natural analogues of the Narasimhan-Seshadri theorem on higher dimensional varieties with some applications to stable bundles on surfaces. The classical result related stability of bundles on projective smooth curves with irreducible unitary representations of the fundamental group. Analogues of holonomy groups and their representations play the corresponding role.