Title: An invitation to Lagrangian submanifolds
Abstract: What does finding periodic orbits in the 3-body problem, inscribing a square in a smooth curve, knot invariants and rainbows share in common? A possible answer is that all these apparently unrelated problems can be understood and solved by studying Lagrangian submanifolds, a particular type of submanifolds prevalent in symplectic topology. In this talk, we will first introduce and motivate Lagrangians submanifolds and their intersection theory, focusing on the surface case. Then, we will discuss recent developments on their classification, including a connection to cluster algebras and some new applications.
Reza Gheissari
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