Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

30^th  of April 2024, 15:15-16:15, room “Dal Passo”

 

 

 

 

 

Regenerations and applications

 

 

 

 

Gianluca Pacienza
Nancy

 

Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique,
a process opposite to specialization, to prove existence results for rational curves on projective K3 surfaces.

In the talk I will present a joint work with G. Mongardi in which we show that,
for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle
holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results.

 

 

 

 

 

 

 

 

 

 

 

 

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