Number theoretic techniques in the theory of Lie groups and differential geometry
| dc.creator | Prasad, Gopal | |
| dc.creator | Rapinchuk, Andrei S. | |
| dc.date | 2008-09-15 | |
| dc.date.accessioned | 2026-07-07T10:02:47Z | |
| dc.date.available | 2026-07-07T10:02:47Z | |
| dc.description | The purpose of this article is to present a survey of our recent results on length commensurable and isospectral locally symmetric spaces. The geometric questions led us to the notion of "weak commensurability" of two Zariski-dense subgroups in a semi-simple Lie group. We have shown that for arithmetic subgroups, weak commensurability has surprisingly strong consequences. Our proofs make use of p-adic techniques and results from algebraic and transcendental number theory. | |
| dc.description | This is a slightly revised version of a survey article published in the Proceedings of the International Congress of Chinese Mathematicians held in 2007 | |
| dc.identifier | https://arxiv.org/abs/0809.2401 | |
| dc.identifier | http://arxiv.org/abs/0809.2401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169100 | |
| dc.subject | Differential Geometry | |
| dc.subject | Number Theory | |
| dc.title | Number theoretic techniques in the theory of Lie groups and differential geometry | |
| dc.type | text |