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Mathematics Colloquium


Date:  Thursday, April 24, 2014

Title:  PUBLIC LECTURE: On Number Theory and the Circle Packings of Apollonius

Abstract:  There has been much progress in recent years on questions concerning the diophantine properties of integral Apollonian Packings. We review the basic properties of such packings, the number theory associated with them, and some of the recent advances. We highlight the theory of "thin matrix groups" which is one of the novel tools that has allowed for these developments.

Speaker:  Peter Sarnak
Institution:  Princeton University/IAS


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