Real holomorphic sections of Deligne-Hitchin moduli spaces
Organizers
Speaker
Time
Thursday, June 13, 2024 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
The Deligne-Hitchin moduli space is the complex analytic reincarnation of the twistor space of the hyperkähler moduli space of solutions to the self-duality equations. Besides twistor lines, there are various other types of holomorphic sections satisfying a reality condition.
These sections are usually related to solutions of certain integrable PDEs.
Besides explaining these concepts and answering a question raised by Simpson, I will also introduce a natural energy functional on the space of sections and its relationship to the hyperholomorphic line bundle over the Deligne-Hitchin module space.
These sections are usually related to solutions of certain integrable PDEs.
Besides explaining these concepts and answering a question raised by Simpson, I will also introduce a natural energy functional on the space of sections and its relationship to the hyperholomorphic line bundle over the Deligne-Hitchin module space.
Speaker Intro
PhD in 2008, Humboldt Universität Berlin, Germany. Habilitation in 2014, Universität Tübingen, Germany. Professor at Beijing Institute of Mathematical Sciences and Applications since 2022. Research interests: minimal surfaces, harmonic maps, Riemann surfaces, Higgs bundles, moduli spaces, visualisation and experimental mathematics.