Colloquium del Dipartimento martedì 14 dicembre 2021 alle ore 16:30

Relatrice: prof.ssa Anna Fino (Università di Torino) 

Titolo: The Calabi-Yau Theorem and its generalizations

L'evento si svolgerà in presenza nell'Aula A del Plesso di Matematica/Informatica 

 

 


Organizzatori: 
prof.ssa Alessandra Lunardi, e-mail : alessandra.lunardi@unipr.it
prof. Adriano Tomassini, e-mail: adriano.tomassini@unipr.it

 

Abstract

In  957 Eugenio Calabi   conjectured, that  a compact Kähler manifold  $M$ has a unique Kähler metric in the same class whose Ricci form is any given 2-form representing the first Chern class of $M$.
The conjecture was solved  two decades later   by Shing-Tung Yau. by constructing a solution of the associated complex Monge-Ampère  equation using the continuity method.
In the seminar  I will give an overview  of the  Calabi-Yau Theorem and its generalizations in symplectic and Hermitian geometry.

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