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math.NT2012★ 30 cited
A torsion Jacquet--Langlands correspondence
Frank Calegari, Akshay Venkatesh
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-…
math.RT2012★ 7 cited
Periods and harmonic analysis on spherical varieties
Yiannis Sakellaridis, Akshay Venkatesh
Given a spherical variety X for a group G over a non-archimedean local field k, the Plancherel decomposition for L^2(X) should be related to "distinguished" Arthur parameters into…