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

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

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Vikraman Balaji, Chennai Mathematical Institute
Fine Hall 214

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.