Constructing pseudodifferential operators from groupoids
Robert Yunken (Université Blaise Pascal, Clermont-Ferrand.)
Friday 26th February, 2016 13:00-14:00 Maths 204
After motivating pseudodifferential calculus from elliptic PDEs, I will show how classical pseudodifferential operators can be completely characterized by a relatively simple algebraic/geometric condition on their Schwartz kernels. This condition is described in terms of Connes' tangent groupoid, which I will also explain. Flipping this around, one can then use this condition as a definition of pseudodifferential operators for more general classes of differential operators.