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Metric Diophantine approximation: the well approximable theory on manifolds

Presented by: 
S Velani University of York
Date: 
Thursday 3rd July 2014 - 11:30 to 12:20
Venue: 
INI Seminar Room 1
Abstract: 
I will give an overview of recent development regarding the metric theory of well approximable sets restricted to manifold. In particular, I will focus on the strengthening of the fundamental theorems of Khintchine and Gallagher, and demonstrate a basic principle that enables one to establish inhomogeneous extremality from (homogeneous) extermality. The end result of the latter is the inhomogeneous strengthening of the Kleinbock-Margulis theorem that validates the Baker-Sprindzuk Conjecture.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons