104 citations · 134 across the 9 of their papers we have counts for
11 papers
Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
Dennis Gaitsgory, Vincent Lafforgue, Sam Raskin
We introduce and study the filtration on the space of automorphic functions (in the everywhere unramified situation for the function field case) obtained by transferring the filtra…
Shtukas for reductive groups and Langlands correspondence for function fields
Vincent Lafforgue
We discuss recent developments in the Langlands program for function fields, and in the geometric Langlands program. In particular we explain a canonical decomposition of the space…
Introduction to chtoucas for reductive groups and to the global Langlands parameterization
Vincent Lafforgue
This is a translation in English of version 5 of the article arXiv:1404.3998, which is itself an introduction to arXiv:1209.5352. We explain all the ideas of the proof of the follo…
A doubling subset of for that is inherently infinite dimensional
Vincent Lafforgue, Assaf Naor
It is shown that for every there exists a doubling subset of that does not admit a bi-Lipschitz embedding into for any .
Vertical versus horizontal Poincaré inequalities on the Heisenberg group
Vincent Lafforgue, Assaf Naor
Let be the discrete Heisenberg group, equipped with the left-invariant word metric associated to the generating…
Geometrizing the minimal representations of even orthogonal groups
Vincent Lafforgue, Sergey Lysenko
Let X be a smooth projective curve. Write Bun_{SO_{2n}} for the moduli stack of SO_{2n}-torsors on X. We give a geometric interpretation of the automorphic function f on Bun_{SO_{2…