The codimension 3 conjecture for holonomic DQ-modules

Francois Petit (University of Edinburgh)

Wednesday 19th March, 2014 16:00-17:00 Maths 204


The codimension 3 conjecture for micro-differential modules was formulated at the end of the seventies by M. Kashiwara and was recently solved by M. Kashiwara and K. Vilonen. It is related to the following problem of extending analytic objects: a holonomic microdifferential module defined outside of a codimension three analytic subset of a Lagrangian submanifold of an open subset of the cotangent bundle extends in a unique way to an holonomic system.

 In this talk, I will explain how to obtain a similar result for holonomic DQ-modules on a complex symplectic manifold and how to recover the codimension three conjecture for formal micro-differential modules from the case of DQ-modules.

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