Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

6^th of November 2023, 16:00-17:00, room “Dal Passo”

 

 

 

 

 

 

 

Stable sheaves on hyper-Kähler manifolds

 

 

 

Alessio Bottini

Orsay e Tor Vergata

 

 

 

The only known examples of hyper-Kähler manifolds are constructed from moduli spaces of sheaves on symplectic surfaces. One would expect that moduli spaces of sheaves on hyper-Kähler manifolds should be themselves hyper-Kähler, but they have proven much more challenging to study.

 

In this talk, I will describe an instance where such an analysis is possible on a four-dimensional manifold. In this case, the moduli space is indeed a hyper-Kähler manifold of dimension 10, deformation equivalent to O'Grady's example.

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry