A torsion Jacquet--Langlands correspondence

By Frank Calegari, Akshay Venkatesh. 2012

56 citations recorded by the source corpus.

We study torsion in the homology of arithmetic groups and give evidence that it plays a role in the Langlands program. We prove, among other results, a numerical form of a Jacquet--Langlands correspondence in the torsion setting.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/95417c1db00f09ad734319caa0df09d5bd11db5f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Akshay Venkatesh
2. Nicolas Bergeron

In Mathematical Physics

1. Nicolas Bergeron
2. Akshay Venkatesh
3. Mehmet Haluk Sengun
4. P. Michel
5. R. Munshi
6. V. Blomer
7. Nicolas Templier
8. Gergely Harcos

In Statistical and Nonlinear Physics

1. Akshay Venkatesh

Citations in the corpus

• Torsion homology growth and cycle complexity of arithmetic manifolds (2014, background): “” This may be a general phenomenon (it was also suggested in [17]).”