Calendar
- 21May 21, 2023No events
- 22May 22, 2023No events
- 23May 23, 2023
Harvard–MIT Algebraic Geometry Seminar: Complex variations of Hodge structures of rank 2 over curves
1 Oxford Street, Cambridge, MA 02138 USAThrough the work of Simpson, complex variations of hodge structures (C-VHS) play a central role in the study of the moduli space of local systems over a complex algebraic variety. In this talk I will consider one of the simplest examples, namely C-VHS of rank 2 over curves. These objects are known to hyperbolic geometers as « branched hyperbolic surfaces ».
I will review what is known about their monodromy, and discuss in particular a joint result with Bertrand Deroin: every PSL(2,R)-local system of Euler class 2g-3 over a curve of genus g admits an isomonodromic deformation that supports a C-VHS.
- 24May 24, 2023No events
- 25May 25, 2023No events
- 26May 26, 2023No events
- 27May 27, 2023No events