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Friday, October 13, 2017
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3:00pm [3:30pm]Sudarshan Gurjar
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Speaker: Sudarshan Gurjar Title: Introduction to Higgs bundles Abstract: A Higgs bundle on a compact Kahler manifold M consists of a holomorphic vector bundle E together with a holomorphic 1-form with values in End(E), say \phi, such that \phi^\phi = 0 as a 2-form with values in End(E). It turns out that there is a one to one correspondence between irreducible representations of fundamental group of M and stable Higgs bundles on M with vanishing Chern classes. This can be seen as the analogue of the Narasimhan-Seshadri theorem connecting irreducible unitary representations of the fundamental group with stable, flat vector bundles.

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