Automorphic Lefschetz properties via $L^2$ cohomology

Mathieu Cossutta

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arXiv · 0910.0142

Automorphic Lefschetz properties via $L^2$ cohomology

Mathieu Cossutta

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Abstract

In this paper one proves a special case of a conjecture by Nicolas Bergeron. This conjecture is a kind of automorphic Lefschetz property. It relates the primitive cohomology of a locally symmetric manifolds modeled on $U(p,q+r)$ to the primitive cohomology of some of its totally geodesic submanifolds that are locally symmetric and modeled on $U(p,q)$.

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BibTeX RIS

Mathieu Cossutta. 2009-10-01. Automorphic Lefschetz properties via $L^2$ cohomology. https://arxiv.org/abs/0910.0142

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