Algebraic Ktheory and exact Lagrangians in cotangent bundles
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 Thomas Kragh, Uppsala
 Wednesday 31 October 2018, 16:0017:00
 MR13.
If you have a question about this talk, please contact Ivan Smith.
In this talk I will discus a connection between Waldhausen’s algebraic Ktheory of spaces and generating families for exact Lagrangian embeddings in cotangent bundles. I will in particular discus how the space M(\infty) defined by Gromov and Eliashberg (which essentially is the classifying space of generating functions for the zerosection) is directly related to the HatcherWaldhausen map in algebraic Ktheory. I will then sketch how this and a construction of a generating family (and a result by Bökstedt) implies triviality of the Lagrangian Gauss map for a Lagrangian embedding in the standard symplectic ball filling the standard Legendrian unknot. If time permits I will discus a possible generalization of this which is joint work with Abouzaid and Ekholm.
This talk is part of the Differential Geometry and Topology Seminar series.
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