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Kobayashi-Hitchin correspondences for harmonic bundles and monopoles

February 16, 2022 @ 9:30 am - 10:30 am

Speaker: Takuro Mochizuki (Kyoto University)

Title: Kobayashi-Hitchin correspondences for harmonic bundles and monopoles

Abstract:  In 1960’s, Narasimhan and Seshadri discovered the equivalence between irreducible unitary flat bundles and stable bundles of degree $0$ on compact Riemann surfaces. In 1980’s, Donaldson, Uhlenbeck and Yau generalized it to the equivalence between irreducible Hermitian-Einstein bundles and stable bundles on smooth projective varieties. This is a surprising bridge connecting differential geometry and algebraic geometry. Since then, many interesting generalizations have been studied.

In this talk, we would like to review a stream in the study of such correspondences for Higgs bundles, integrable connections, $D$-modules and periodic monopoles.

Details

Date:
February 16, 2022
Time:
9:30 am - 10:30 am
Event Category:

Venue

Virtual