Complete Calabi-Yau Manifolds and Optimal Transportation

Abstract: I will discuss some geometric, analytic and algebraic, aspects of complete Calabi-Yau metrics on pairs (X,D) where X is Fano and D is an ample anti-canonical divisor with simple normal crossings. I will highlight the connection between existence of such Calabi-Yau metrics and optimal boundary regularity theory for optimal transportation. This talk is based on joint works with Y. Li, F. Tong, S.-T. Yau, and H. Guenancia

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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