Special Seminar

Diophantine analysis in thin orbits

We will explain how the circle method can be used in the setting of thin orbits, by sketching the proof (joint with Bourgain) of the asymptotic local-global principle for Apollonian circle packings. We will mention extensions of this method due to Zhang and Fuchs-Stange-Zhang to certain crystallographic circle packings, as well as the method's limitations.

Date & Time

December 08, 2017 | 1:15pm – 2:00pm

Location

S-101

Affiliation

Rutgers University; von Neumann Fellow, School of Mathematics

Event Series

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