Mathematical Colloquium

Geometric representation theory uses geometric tools to construct and analyse algebraic structures like the representations of matrix groups. One key tool is the theory of $D$-modules, which are modules over the differential operators on a given space. It is not surprising that this framework is particularly powerful over the complex numbers, where the analysis of differential equations is reasonably well understood. In this colloquium talk, I will describe an analogous theory over the field of $p$-adic numbers, develop (large parts of) a six-functor formalism for holonomic analytic $D$-modules, and mention a couple of representation-theoretic applications.

TBA

TBA (Here is the abstract of the talk.....)

TBA (Here is the abstract of the talk.....)