Short course on Nonabelian Hodge theory
by Prof. Florent Schaffhauser
(Universidad de Los Andes (Bogotá); Max Planck Institute (Bonn); University of Strasbourg)
(via real-time Zoom lectures*)
The course will be an introduction to nonabelian Hodge theory over compact Riemann surfaces, with a view towards the topology of character varieties. A significant part of the course will be devoted to the ideas and techniques used in Simpson’s famous proof of the nonabelian Hodge correspondence. The central notion of the course will be that of a Higgs bundle, which was introduced by Hitchin, and can be seen as a degenerate version of a holomorphic bundle with connection.
Each lecture will include ample time for discussion and questions. There will also be discussion sessions following the lectures, in which students can present their own research and receive advice from the lecturer.
Graduate students and researchers in mathematics, physics, and engineering are welcome (see below for registration information).
Date: July 2021
Venue: Real-time Zoom lectures*
Lecturer: Prof. Florent Schaffhauser (Max Planck Institute, Bonn and University of Strasbourg)
Participants: Open to all students and faculty members
Registration: *Registered students will receive Zoom login information via Waseda Moodle. Visitors/guests are welcome to attend. In order to receive the Zoom login information, please send an e-mail to Martin Guest (martin at waseda.jp) stating your name, university affiliation, and position/student status.
- Thursday, July 1, Lecture 16:30-18:00
- Monday, July 5, Lecture 16:30-18:00, Discussion Session 1: 18:30-19:30
- Thursday, July 8, Lecture 16:30-18:00, Discussion Session 2: 18:30-19:30
- Monday, July 12, Lecture 16:30-18:00, Discussion Session 3: 18:30-19:30
- Thursday, July 15, Lecture 16:30-18:00, Discussion Session 4: 18:30-19:30
- Monday, July 19, Lecture 16:30-18:00, Discussion Session 5: 18:30-19:30
- Thursday, July 22, Lecture 16:30-18:00
1. character varieties
2. Higgs bundles
3. nonabelian Hodge correspondence
4. Hitchin fibration
5. higher Teichmueller spaces