The decomposition theorem: the smooth case
Apparaît dans la collection : Jean-Morlet Chair 2020 - Workshop: Varieties with Trivial Canonical Class / Chaire Jean-Morlet 2020 - Workshop: Variétés de la classe canonique triviale
The decomposition theorem gives some insight on the structure of compact Kähler manifolds with trivial first Chern class. In the first part of the talk I will try to summarize the history of the problem, from the Calabi conjecture to its proof by Yau; in the second part I will explain why the result is an easy consequence of Yau's theorem.