Mathematics Colloquium
Wednesday, July 19, 4 pm
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Venue: Ramanujan Hall
Host: Ravi Raghunathan
Speaker: Shreyasi Datta, Univ. of Michigan
Title: S-arithmetic Diophantine Approximation
Abstract: Diophantine approximation deals with quantitative and qualitative aspects of approximating numbers by rationals. A significant breakthrough by Kleinbock and Margulis in 1998 was to study Diophantine approximations for manifolds using homogeneous dynamics. After giving an overview of recent developments in this subject, I will talk about Diophantine approximation in the S-arithmetic set-up, where S is a finite set of valuations of rationals.