Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 17 January 2019
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Boucksom
Speaker's First Name Sebastien
Speaker's Email Address sebastien [dot] boucksom [at] polytechnique [dot] edu
Speaker's Institution CMLS, Ecole Polytechnique
Title Kähler-Einstein metrics
Abstract Kähler metrics are a special class of Riemannian metrics, defined on complex manifolds, and locally expressed as the (complex) Hessian of a potential. Kähler metrics with constant Ricci curvature are called Kähler-Einstein, and come in three flavors, according to the curvature sign. I will review Aubin and Yau's classical existence and uniqueness results in the case of negative and zero curvature (Calabi-Yau metrics), and describe some aspects of the Yau- Tian-Donaldson conjecture, solved a few years ago, and which solves the existence problem in the case of positive curvature (Fano manifolds).
arXiv Preprint Number

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