Growth of cohomology of arithmetic groups and the stable trace formula: the case of U(2,1)

2019/10/15 by Mathilde Gerbelli-Gauthier, Gerbelli-Gauthier, Mathilde · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1910.06900

22 pages

arxiv created 2019/10/15 · arxiv updated 2019/10/16

Abstract

We present a strategy to use the stable trace formula to compute growth in the cohomology of cocompact arithmetic lattices in a reductive group G. We then implement it in the case where G = U(2,1), using results of Rogwaski. This recovers a result of Marshall.

Cited by

• Sato-Tate Equidistribution for Families of Automorphic Representations through the Stable Trace Formula

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