On the mod 2 cohomology of moduli spaces of Real vector bundles.
Event details
| Date | 17.02.2015 |
| Hour | 15:15 › 17:00 |
| Speaker | Florent Schaffhauser, Universidad de Los Andes |
| Location | |
| Category | Conferences - Seminars |
In their 1982 paper on Yang-MIlls equations over Riemann surfaces, Atiyah and Bott used a gauge-theoretic approach to compute the rational Betti numbers of moduli spaces of stable vector bundles of coprime rank and degree over a compact Riemann surface of genus 2 or higher, and to find generators of the cohomology rings of those spaces. When the Riemann surface is endowed with an anti-holomorphic involution, one can construct moduli spaces of Real and Quaternionic vector bundles over it, again via a gauge-theoretic approach. In this talk, we describe what is known about the mod 2 cohomology ring of those moduli spaces. This is based on joint work with Chiu-Chu Melissa Liu.
Practical information
- Informed public
- Free