COLLOQUIUM: martedì 14 dicembre ore 16:30 prof.ssa Anna Fino "The Calabi-Yau Theorem and its generalizations"
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
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.