Moduli spaces of vector bundles on curves
This course offers an introduction to the moduli spaces of vector bundles on algebraic curves. We will construct these moduli spaces using Geometric Invariant Theory (GIT) and examine their geometric properties. Topics will include the structure of the Picard group, the automorphism group, and other fundamental aspects of these moduli spaces.
Lecturer
Jianping Wang
Date
24th September, 2025 ~ 23rd January, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday | 09:50 - 12:15 | A3-1-301 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Algebraic geometry
Reference
1. Geometric invariant theory, D. Mumford, J. Fogarty, and F. Kirwan;
2. Lectures on vector bundles, J. Le Potier;
3. The geometry of moduli spaces of sheaves, second edition, D. Huybrechts and M. Lehn.
2. Lectures on vector bundles, J. Le Potier;
3. The geometry of moduli spaces of sheaves, second edition, D. Huybrechts and M. Lehn.
Audience
Graduate
, Postdoc
Video Public
Yes
Notes Public
No
Language
Chinese