The Microlocal codimension three conjecture. Speaker: Kari Vilonen

Location: Old Geology, Theatre 1
According to an old well-established principle, special functions (or
distributions) can be understood and analyzed in terms of the systems
of differential equations that they satisfy. To this end, a general
theory of systems of linear (micro) differential equations was
developed by the Sato school in Kyoto. This point of view, in its
various incarnations, is now ubiquitous in many parts of mathematics
allowing functions to be replaced by geometric objects. In joint work
with Kashiwara we have proved the main longstanding conjecture in this
subject, the codimension three conjecture. I will explain this
conjecture and some of the very general ideas which enter the proof.