Symplectic and Contact Geometry of Monge– Ampère equation: Introduction and application

Time：2023-04-14 Fri 17:00-18:30

Venue：ZOOM:815 4690 4797（PW: BIMSA）

Organizer：Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker：Vladimir Rubtsov Université d’Angers, ITTP Moscow and IGAP Trieste

Abstract

I am going to present an introduction into the geometric approach to Monge– Ampère operators and equations based on contact and symplectic structures of cotangent and the 1st jet bundles of a smooth manifold. This approach was developed by V. Lychagin and goes back to the ideas of E. Cartan and his successor T. Lepage. I shall try to make my talk self-contained. I also plan to discuss various applications and links with important geometric structures.

DATEApril 14, 2023

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