TL;DR
This paper reviews recent developments in the theory of the Monge-Ampère equation, highlighting new mathematical insights and techniques discussed in a 2018 Bourbaki seminar.
Contribution
It provides a comprehensive overview of recent advances in understanding the Monge-Ampère equation's mathematical properties.
Findings
New theoretical results on Monge-Ampère equation properties
Development of advanced analytical techniques
Connections to geometric and optimal transport problems
Abstract
This text contains the material discussed by the author in the Bourbaki seminar of June 2018, on the recent developments in the theory of the Monge-Amp\`ere equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.