Algebraic Geometry Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 347 Altgeld Hall
- Date
- Nov 8, 2022 3:00 pm
- Speaker
- Nicolas Addington, University of Oregon
- Contact
- Sheldon Katz
- Views
- 93
Hermitian-Einstein connections on universal bundles
Abstract: For a smooth, compact moduli space of stable vector bundles on a K3 surface, we construct a Hermitian-Einstein connection on the universal bundle, which restricts to a H-E connection on its "wrong-way" slices.
Thus not only does the moduli space parametrize stable bundles on the K3 surface, but the K3 surface parametrizes stable bundles on the moduli space. Ingredients include the Bismut-Freed-Quillen connection on a determinant line bundle, and a careful analysis of the curvature of a certain principal bundle coming from gauge theory. This is joint work with Andrew Wray.