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

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.

22 pages

References in corpus (1)

• Endoscopic Classification of Representations: Inner Forms of Unitary Groups