Abstract:

This is the first talk of a reading seminar on wrapped microlocal sheaves on the cotangent bundle of a real analytic manifold. Given a closed conic Lagrangian subvariety L and a conic open subset O, the category of wrapped microlocal sheaves is the full dg subcategory of compact objects within the cocomplete dg category of all microlocal sheaves on O which is microlocally supported along L. Such a category serves as a sheaf theoretic model of the infinitesimal Fukaya-Seidel category of Lagrangian branes along L.