Wednesday, March 15, 2023 2:00 pm
-
2:00 pm
EDT (GMT -04:00)
Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Deformation theory of vector bundles and of Hitchin pairs"
In this talk, we explain how deformations of holomorphic vector bundles on a complex manifold $X$ are parametrised by the first \^v{C}ech cohomology group of the endomorphism bundle. In the case of Hitchin pairs, which consist of a holomorphic vector bundle together with a Higgs field taking values in a fixed bundle $L$ on $X$, the deformations are described in terms of the hypercohomology of a natural bicomplex of sheaves associated to the Hitchin pair.
This seminar will be held both online and in person:
- Room: MC 5403
- Zoom link: https://uwaterloo.zoom.us/j/93854787866?pwd=YjVzZXVyamhobjFMdS9YTlZoZzhvUT09