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

组织者

尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫

演讲者

Vladimir Rubtsov

时间

2023年04月14日 17:00 至 18:30

地点

Online

摘要

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.