Algebraic K-theory and exact Lagrangians in cotangent bundles

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• Thomas Kragh, Uppsala
• Wednesday 31 October 2018, 16:00-17:00
• 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 K-theory 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 zero-section) is directly related to the Hatcher-Waldhausen map in algebraic K-theory. 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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