ICTP Geometry Seminar on Thursday 21 February

[math]

GEOMETRY SEMINAR


Thursday, 21 February, at 14.00 hrs.


Dr. Cristiano Spotti
(IHES, France)

"Degenerations of Kahler-Einstein Fano manifolds and Moduli Spaces"


Abstract:
The space of Kahler-Einstein (KE) Fano manifolds can be naturally 
compactified by considering metric degenerations in the so-called 
Gromov-Hausdorff topology. The relation between the existence of a KE 
metric and an algebro-geometric notion of stability of the underlying 
variety (Yau-Tian-Donaldson Conjecture, now a theorem), suggests that 
the above metric compactification should correspond to certain compact 
algebraic moduli spaces of stable Fano varieties (K-Moduli).
In this talk we will describe the general picture, focusing on the 
understood case of Del Pezzo surfaces (joint work with Yuji Odaka and 
Song Sun).


VENUE: Luigi Stasi Seminar Room, first floor , ICTP Leonardo Building