K-stability of Fano 3-folds

K-stability of Fano 3-folds

Fano varieties are geometric shapes which are positively curved. They arise in a wide array of fields from theoretical physics to phylogenetic trees. In fact, every geometric shape which can be parametrised (or covered ) is - up to surgery - a family of Fano varieties.

There are rich interactions between differential geometric and algebro-geometric properties of Fano manifolds (and more generally of Kahler manifolds). An instance of this phenomenon was conjectured by Yau Tian and Donaldson ( and proved by Donaldson, Chen and Sun): they proved that on Fano manifolds the existence of special canonical metrics is equivalent to a stability property. This is an equivalence between properties that are subtle, and still little understood. Dr Kaloghiros will discuss algebro-geometric approaches to this problem and will present recent developments and their applications to our understanding of Fano surfaces and 3-folds. 

Speaker

 Anne-Sophie Kaloghiros, Brunel University

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk