The 12th Takagi Lectures
May 25 (Sat)--26 (Sun), 2013
Graduate School of Mathematical Sciences
The University of Tokyo, Tokyo, Japan


Kernels of Langlands' automorphic transfer and non-linear Poisson formulas
Laurent Lafforgue
(Institut des Hautes Études Scientifiques)


Abstract

In the first talk, we shall introduce the notion of kernels of Langlands' automorphic transfer and give some hints about the way we could try to construct such kernels.
In the second talk, we shall introduce some kind of non-linear Poisson formulas which are implied by Langlands' transfer conjecture and which, in the other direction, would be enough to construct transfer kernels.