School of Mathematics Colloquium

HOLONOMY GROUP SCHEME OF AN INTEGRAL CURVE

by Prof. A.J. Parameswaran (T.I.F.R. Mumbai)

Thursday, March 14, 2013 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
I will describe the 'HOLONOMY GROUP' of smooth curves and  smooth 
projective varieties as a generalization of   Fundamental Group. This was carried out in the past jointly with Indrani Biswas, S. Subramanian and V. Balaji through a series of papers. Then we define it for integral curves.  Then we explain the relation between (strongly) stable bundles and irreducible representations of these groups.

This  is a joint work Usha Bhosle. Recently, with Usha Bhosle and Sanjay  Sigh, it was further generalized to Hitchin pairs on an integral curve and defined a more general Holonomy groups.