The decomposition Theorem in the smooth case

Date/heure
2 novembre 2020
10:30 - 12:00

Oratrice ou orateur
Francesco Denisi

Catégorie d'évènement
Groupe de travail Géométrie


Résumé

in this talk I’ll give a somewhat detailed proof of the decomposition theorem for connected compact Kaehler manifolds with vanishing first (real) Chern class, following Beauville. Therefore I will investigate the structure of such kind of manifolds and show that their building blocks are Complex Tori, Calabi-Yau manifolds and Irreducible Holomorphic symplectic manifolds… but « just » up to a finite étale covering. We will see how this deep result is a consequence of Yau’s Theorem and other results from Riemannian geometry so that we get a (very nice) link between differential geometry and complex algebraic geometry.