ERC Advanced Grant · 2021
Automorphic Forms and Arithmetic
This proposal is at the interface of number theory and automorphic forms and aims at a cross-fertilization of both areas. It focuses on explicit arithmetic problems that can be solved using the full force of the automorphic machinery. Conversely it develops the theory of automorphic forms in higher rank using number theoretic methods. At the core are three sets of deep and longstanding open conjectures in higher rank cases: - the joint equidistribution conjectures of Michel and Venkatesh concerning the distribution of pairs of shifted CM points, - the “beyond endoscopy” program of Langlands of identifying functional lifts by a comparison of different trace formulae, - the density and…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.