Diophantine Approximation on Manifolds

<strong>Mathematics Seminar of the School of Physical Sciences ---------------------------------------------------------</strong> <strong>Diophantine Approximation on Manifolds</strong> <strong>Anish Ghosh </strong> Tata Institute of Fundamental Research, Mumbai Date: <strong>February 25, 2016</strong> <strong>Abstract: </strong>I will explain how Diophantine approximation can be studied in terms of dynamics on the space of unimodular lattices. If time permits I will discuss some recent and ongoing work in this direction with A. Gorodnik and with V. Beresnevich and S. Velani.This will be a colloquium style talk and will be accessible to a wider audience.