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

I am going to introduce you in a geometric approach to Monge–Ampère operators and equations based on contact and symplectic structures of cotangent and 1-st jet bundles of a smooth variety. The approach was developed by V. Lychagin goes back to ideas of E.Cartan and his successor T. Lepage. I shall try to make my talk self-contained. I expect to discuss various applications and links with important geometric structures.
I suppose to speak Russian or English if the audience prefers. Идентификатор конференции в Zoom: 828 5783 2979. Код доступа можно узнать у организаторов семинара.