SL2 Seminar

We introduce basic tools of the trade: the Fourier-Sato transform, specialisation, Sato's microlocalisation and the microhom functor, culminating with a concrete description of the morphisms in our category of microlocal sheaves. We use quantized contact transformations to convert questions about microlocal sheaves into questions about ordinary sheaves. Time permitting, we then discuss the dual notions of microlocal perverse sheaves and regular singular microdifferential modules, and take a stab at a microlocal Riemann-Hilbert correspondence.