Lectures for the general public

SAG: Twisting abelian fibrations on hyperkähler manifoldsSeminar Algebraic Geometry (SAG)

by Dominique Mattei (Hannover)

Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

I will present recent results about twists of abelian fibrations, which is a procedure to build new fibrations out of a fixed one. I will try to outline a general strategy to compute the group of twists in the case of hyperkähler manifolds, and give a modular interpretation of them. Based on a joint work with D. Huybrechts, and another one with Y. Dutta and E. Shinder.