A torsion Jacquet--Langlands correspondence
arXiv:1212.3847
Abstract
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.
book, 250 pages, comments welcome
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- Torsion homology and regulators of isospectral manifolds
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- Torsion homology of arithmetic lattices and K2 of imaginary fields
- Analytic torsion of arithmetic quotients of the symmetric space SL(n,R)/SO(n)
- Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps
- On Elliptic Curves of prime power conductor over imaginary quadratic fields with class number one
- Mod p Base Change transfer for GL(2)
- Equivariant Torsion and Base Change
- Asymptotics of automorphic spectra and the trace formula