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Transference principles and locally symmetric spaces
We explain how the Transference Principles from Diophantine approximation can be interpreted in terms of geometry of the locally symmetric spaces Tn = SO(n)\SL(n,R)/SL(n,Z) with n ≥ 2, and how, via this dictionary, they become transparent geometric remarks and can be easily proved. Indeed, a finite family of linear forms is naturally identified to a locally geodesic ray in a space Tn and the wa...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2018
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004118000014