Kobayashi-Hitchin correspondences for harmonic bundles and monopoles
CMSA EVENTS: CMSA COLLOQUIUM
When: February 16, 2022
9:30 am - 10:30 am
Where: Virtually
Speaker: Takuro Mochizuki - Kyoto University
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.
https://harvard.zoom.us/j/95767170359
(Password: cmsa)