Beijing-Moscow Mathematics Colloquium (online)
To Join Zoom Meeting: https://zoom.com.cn/j/86714579603?pwd=L0h4azBrNmZodi9zTkxOQ3FGWEZlZz09
Meeting ID: 867 1457 9603
Password: 042703
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.
Bio
Vladimir (Volodya) Rubtsov graduated in Mathematics from the Moscow State University in 1974 with a MSc in Differential Geometry and Applications. He has a PhD in Higher Geometry and Topology (1983) and held research and teaching positions at various Mathematics and Applied Mathematics Laboratories in the former Soviet Union. Presently he is Professor at the Department of Mathematics, Université d'Angers, and a member of LAREMA (Anjou Research Mathematical Laboratory) of CNRS (France). Since 1993 he is a Senior Researcher at the Theory Division in the Alikhanov Institute for Theoretical and Experimental Physics (ITEP) in Moscow. He held visiting positions at Ecole Polytechnique (Palaiseau, France), Universities of Lyon, Lille and Strasbourg (France), University of Uppsala (Sweden), SISSA (Italy) and others. He was invited member at IHES, MPIM (Bonn), the Newton Institute (Cambridge, UK) and others. His research is in the area of Poisson geometry, quantum Groups, integrable systems, symplectic and contact geometric methods in non-linear differential equations and applications in hydrodynamics.
