International Centre for Theoretical Sciences - TIFR
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Email: [email protected] Website: www.icts.res.in
ICTS Skype Seminar
Title : System of Hodge bundles and opers.
Speaker : Arideep Saha , The Institute of Mathematical Sciences, Chennai
Date : Monday, July 8, 2019
Time : 4:00 PM
Venue : Emmy Noether Seminar Room, ICTS Campus, Bangalore
Abstract : We would begin the talk with the notion of (semi)-stability of vector bundles and Higgs-bundles. A result of Simpson states that a vector bundle with a connection admits a filtration, such that, a naturally corresponding Higgs-bundle is semistable. One can start with a given filtration and try to give conditions on the filtration, such that, a connection preserving the filtration exists and the corresponding Higgs-bundle is semistable. In this talk we would discuss a few results towards semistability of Higgs-bundle from semistability of the graded components of the filtration.
