Topic: Diophantine analysis in thin orbits
Speaker: Alex Kontorovich
Affiliation: Rutgers University; von Neumann Fellow, School of Mathematics
Date & Time: Friday December 8th, 2017, 1:15pm - 2:00pm
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.