Fields medallists - 2018

Collection Fields medallists - 2018

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[1148] On the Monge–Ampère equation

By Alessio Figalli

Also appears in collection : Bourbaki - Juin 2018

The Monge–Ampère equation is a nonlinear PDE arising in several problems in the areas of analysis and geometry, such as the prescribed Gaussian curvature equation, affine geometry, optimal transportation, etc. In this talk I will first give a general overview of the classical theory, and then I will discuss some of the most recent and important developments on this beautiful topic.

Information about the video

Date of recording 23/06/2018
Date of publication 18/06/2018
Institution IHP
Language English
Audience Researchers, Graduate Students
Format MP4
Venue Amphitheater Hermite, IHP

Bibliography

Séminaire Bourbaki, 70ème année (2017-2018), n°1148, juin 2018 PDF

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