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Responsabili:

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

## Evento

Titolo: On the K-stability of certain Fano 3-folds
Quando: 09/02/2023 - 15:00
Dove: Politecnico di Torino - TORINO
Aula: Aula Seminari
Relatore: Luca Giovenzana
Afferenza: Loughborough University London
Locandina:

## Descrizione:

Abstract: The existence of Kähler-Einstein (KE) metrics on Fano manifolds is a long-standing problem in algebraic geometry. Since the solution to the Yau-Tian-Donaldson conjecture, the existence of a KE metric on a Fano manifold $X$ has been proven to be equivalent to the K-polystabilty of $X$. In particular, the problem of the existence of a KE metric has been translated in algebro-geometric terms. In my talk, I will explain how the Abban-Zhuang theory can be used to prove K-stability of Fano varieties and apply it to prove the K-stability of certain Fano 3-folds obtained as blow-up of $\mathbb P^3$ in a curve. Everything is based on a work-in-progress with Tiago Duarte Guerreiro and Nivedita Viswanathan.

## Sede

Indirizzo: corso Duca degli Abruzzi, 24
CAP: 10129
Città: TORINO