100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Thomas Kragh

Exact Lagrangians and the Hatcher-Waldhausen map
Friday, 10 May, 2019 - 10:30
Résumé : 

In this talk I will define the Hatcher-Waldhausen map and sketch why the space M∞ defined by Gromov and Eliasberg is an explicit geometric model for its homotopy fiber. The space M∞ has deep relations to exact Lagrangian submanifolds and the extensive results on the Hatcher-Waldhausen map in the literature then implies new results on such. As a sample we sketch a proof that any exact Lagrangian filling in D2n of the standard Legendrian unknot S2n−1 has a homotopy trivial stable Lagrangian Gauss map.

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