University of Toronto's Symplectic Geometry Seminar

March 30, 2007, 2:10pm
BA 1230

V Balaji

Algebraic holonomy groups of stable bundles

Abstract: If $X$ is a complex manifold and $E$ a holomorphic vector=20 bundle, then usually there are no holomorphic connections on $E$. One can, nonetheless, define a close analog of the holonomy representation in the complex setting if $E$ is a stable vector bundle and $X$ is projective algebraic. We define these "algebraic holonomy groups" and characterize it in=20 various ways and give some applications. (This is based on joint work with J.Kollar.)