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Sylvain Courte: Twisted generating functions and the nearby Lagrangian conjecture (I)

Time: Tue 2022-04-05 13.30 - 14.30

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Sylvain Courte (Université Grenoble Alpes)

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Abstract: I will present the nearby Lagrangian conjecture from symplectic topology and some connection with Waldhausen's manifold approach to algebraic K-theory of spaces, as was first discovered by Kragh and developed in a joint work with Abouzaid, Guillermou and Kragh. This goes via the classical notion of generating functions, an early tool in symplectic topology, which relates properties of Lagrangian/Legendrian submanifolds with parametrized Morse theory or pseudo-isotopy theory. If time permits, I will explain how this leads to strong constraints on the stable Lagrangian Gauss map of a nearby Lagrangian.