Миникурс «Introduction to the metric theory of Diophantine approximation»

Начиная с 29.10.2013, Arnaud Durand (Université Paris-Sud) прочитал миникурс «Introduction to the metric theory of Diophantine approximation». Лекции прошли на факультете математики НИУ ВШЭ (ул. Вавилова, д.7) во вторник 29.10, в среду 30.10 и четверг 31.10 в 17:00 в аудитории 311-312.

Аннотация. Diophantine approximation originally aims at describing the quality with which the real numbers may be approached by the rationals. In this series of lectures, we will adopt a metric point of view on this question: we will study the size of the set of reals that are approximated at a given rate by the rationals; these size properties will be expressed in terms of Lebesgue measure or Hausdorff dimension, or using finer tools from geometric measure theory. We will review the most classical results, due to Dirichlet, Khintchine, Jarník and Besicovitch, and we will give a flavor of the more recent advances on the topic.

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