Groupes arithm\'etiques et approximation diophantienne

Nicolas de Saxcé

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arXiv · 2107.11543

Groupes arithm\'etiques et approximation diophantienne

Nicolas de Saxcé

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Abstract

We develop a theory of diophantine approximation on generalized flag varieties, varieties that can be obtained as a quotient of a semisimple algebraic group by a parabolic subgroup. Using methods from the theory of arithmetic groups, due in particular to Borel and Harish-Chandra, and to Margulis and his collaborators, we prove in this setting analogs of the classical theorems of diophantine approximation.

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Nicolas de Saxcé. 2021-07-24. Groupes arithm\'etiques et approximation diophantienne. https://arxiv.org/abs/2107.11543

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