University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Singularities of Hermitian-Yang-Mills connections and the Harder-Narasimhan-Seshadri filtration

Singularities of Hermitian-Yang-Mills connections and the Harder-Narasimhan-Seshadri filtration

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

SYGW05 - Symplectic geometry - celebrating the work of Simon Donaldson

Co-Author: Xuemiao Chen (Stony Brook)

The Donaldson-Uhlenbeck-Yau theorem relates the existence of Hermitian-Yang-Mills connection over a compact Kahler manifold with algebraic stability of a holomorphic vector bundle. This has been extended by Bando-Siu to the case of reflexive sheaves, and the corresponding connection may have singularities. We study tangent cones around such a singularity, which is defined in the usual geometric analytic way,  and relate it to the Harder-Narasimhan-Seshadri filtration of a suitably defined torsion free sheaf on the projective space, which is a purely algebro-geometric object. 


This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity