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Sudarshan Gurjar

Description: 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.
Location: Room 215, Department of Mathematics
Date: Friday, October 13, 2017
Time: 3:30pm-5:00pm IST
Duration: 1 hour 30 minutes
Access: Public