1 dec 2020 -- 17:00
Università di Torino - PRIN seminar (online)
Abstract.
A classical problem going back to ancient Greece is to find the shortest curve in the plane enclosing a given area: the isoperimetric problem. A similar question is whether given a curve on a surface it can be deformed to a shortest one. Whilst the solutions to these classical problems are well-known, natural generalisations in higher dimensions are mostly unsolved. I will explain how this leads us to the study of minimal Lagrangians and the question of how to find them, which will take us to the interface between symplectic topology, Riemannian geometry and analysis of nonlinear PDEs, with links to theoretical physics.
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The talk will be presented using the platform Cisco Webex Meetings. The Webex link will be sent one day before the talk to all registered participants. To register, please send an e-mail to dgseminar.torino@gmail.com