Weakly commensurable groups, with applications to differential geometry

Gopal Prasad; Andrei S. Rapinchuk

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arXiv · 1307.1479

Weakly commensurable groups, with applications to differential geometry

Gopal Prasad·Andrei S. Rapinchuk

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Abstract

The article contains a survey of our results on weakly commensurable arithmetic and general Zariski-dense subgroups, length-commensurable and isospectral locally symmetric spaces and of related problems in the theory of semi-simple agebraic groups. We have included a discussion of very recent results and conjectures on absolutely almost simple algebraic groups having the same maximal tori and finite-dimensional division algebras having the same maximal subfields.

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Gopal Prasad, Andrei S. Rapinchuk. 2013-11-22. Weakly commensurable groups, with applications to differential geometry. https://arxiv.org/abs/1307.1479

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