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SUMMARY:Singularities of Hermitian-Yang-Mills connections and the Harder-N
 arasimhan-Seshadri filtration - Song Sun (Stony Brook University)
DTSTART:20170817T130000Z
DTEND:20170817T140000Z
UID:TALK75881@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-Author: Xuemiao Chen (Stony Brook)<br><br>The Donaldson-Uhl
 enbeck-Yau theorem relates the existence of&nbsp\;Hermitian-Yang-Mills con
 nection&nbsp\;over a compact Kahler manifold with algebraic&nbsp\;stabilit
 y of a&nbsp\;holomorphic vector bundle. This has been extended by Bando-Si
 u to the case of reflexive sheaves\, and the corresponding connection may 
 have&nbsp\;singularities. We study tangent cones around such a singularity
 \, which is defined in the usual geometric analytic way\,&nbsp\;&nbsp\;and
  relate it to the Harder-Narasimhan-Seshadri filtration of a suitably defi
 ned torsion free sheaf on the projective space\, which is a purely algebro
 -geometric object.&nbsp\;<br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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