 Location
 MSRI: Online/Virtual
 Video

 Abstract
For an exact Lagrangian $L$ in a cotangent bundle, one can define a sheaf of stableinfinity categories on it, called the KashiwaraSchapira stack. Assuming the Lagrangian is smooth, the sheaf of categories is a local system with fiber equivalent to Mod(k), where k is the coefficient ring spectrum (at least E_2). I will show that the classifying map for the local system of categories factors through the stable Gauss map L>U/O and the delooping of the Jhomomorphism U/O>BPic(S), where S is the sphere spectrum. Part of the proof employs the (\infty,2)category of correspondences developed by GaitsgoryRozenblyum. If time permits, I will also talk about some applications of this result.
 Supplements


