Pure Maths Colloquium: About the problem of defining badly approximable two dimensional points.
16 May 2011 17:15 in CM221
In the first part of a talk I'll give some background to the theory of Diophantine approximation. We'll define the set of badly approximable numbers, consider some of its properties and finally see how can it be described in terms of continued fractions.
Then we discuss the problems which arise in attempt to generalise badly approximable numbers to higher dimensions. Many of that problems are still open, for example the famous Littlewood conjecture. In the final part of a talk I'll focus on the current state of things in this area.
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