Quentin Peres, "Calabi-Yau manifolds: Ideas & Examples"

lundi 6 oct. 2025, 10:30 → 11:25 Europe/Paris

Fokko du Cloux (ICJ)

In 1954, Calabi conjectured that any compact Kähler manifold with vanishing first Chern class admits a unique Ricci-flat Kähler metric in each Kähler class. Yau proved this conjecture in 1978 and since then, the manifolds with this properties have been called Calabi-Yau manifolds. In this talk, I will introduce the necessary background of Kähler geometry leading to Calabi-Yau manifolds and give as many examples as possible. If time allows, I will present the ideas of Yau's proof.