- Date de réalisation : 1 Juillet 2019
- Durée du programme : 62 min
- Classification Dewey : Mathématiques
- Auteur(s) : MEERSSEMAN Laurent
- Réalisateur(s) : HUMPHRIES Donovan, Bastien Fanny
Dans la même collectionC. Spicer - Minimal models of foliations F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curves S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 5) A. Höring - A decomposition theorem for singular spaces with trivial canonical class (Part 3) H. Guenancia - A decomposition theorem for singular spaces with trivial canonical class (Part 2) E. Amerik - On the characteristic foliation
L. Meersseman - Kuranishi and Teichmüller
X be a compact complex manifold. The Kuranishi space of X is an
analytic space which encodes every small deformation of X. The
Teichmüller space is a topological space formed by the classes of
compact complex manifolds diffeomorphic to X up to biholomorphisms
smoothly isotopic to the identity. F. Catanese asked when these two
spaces are locally homeomorphic. Unfortunatly, this almost never occurs.
I will reformulate this question replacing these two spaces with
stacks. I will then show that, if X is Kähler, this new question has
always a positive answer. Finally, I will discuss the non-Kähler case.