The theory of differential operators and modules over them (so called D-modules) has had many applications in many fields of math - most notably, the Riemann-Hilbert correspondence (analysis) and the proof of the Kazhdan-Lusztig conjecture (representation theory). In this talk I will start by introducing the notion of differential operators on both the affine and the geometric setting together with many examples and nice results. I will then give a rough idea of their involvement in the Riemann-Hilbert correspondence.
Speaker(s): Eamon Quinlan (UM)