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SUMMARY:Algebraic K-theory and exact Lagrangians in cotangent bundles - Th
 omas Kragh\, Uppsala
DTSTART:20181031T160000Z
DTEND:20181031T170000Z
UID:TALK107581@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:In this talk I will discus a connection between Waldhausen's a
 lgebraic K-theory of spaces and generating families for exact Lagrangian e
 mbeddings in cotangent bundles. I will in particular discus how the space 
 M(\\infty) defined by Gromov and Eliashberg (which essentially is the clas
 sifying space of generating functions for the zero-section) is directly re
 lated to the Hatcher-Waldhausen map in algebraic K-theory. I will then ske
 tch how this and a construction of a generating family (and a result by B
 ökstedt) 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 wh
 ich is joint work with Abouzaid and Ekholm.
LOCATION:MR13
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