SL2 Seminar

In the last talk of this series, we discuss the microlocal criterion for regular singularities of a D-module, and the existence of special filtrations on regular holonomic microdifferential modules. This allows us to define a D-module-theoretic analogue of the vanishing cycles functor along a smooth hypersurface. We'll see in detail how this looks in the one-dimensional case. We also take a brief look at the microlocal Riemann-Hilbert correspondence.