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Friday, February 07, 2020
5:00 PM - 5:50 PM

Caltech/UCLA Joint Analysis Seminar

Counting rational points close to a hypersurface
Jing-Jing Huang, Mathematics & Statistics, University of Nevada, Reno,

UCLA MS 6627

We will mainly talk about problems related to counting rational points in a thin neighborhood of a manifold. Using Fourier analytic methods, we have recently solved the case of hypersurfaces. A key step of the proof utilizes a duality relation between the counting functions for the hypersurface and its dual surface to bootstrap the counting bound. There are also significant applications of our results to diophantine inequalities and metric diophantine approximation on manifolds.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.