# Mathematical Sciences Research Institute

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# Seminar

HA Postdoc Seminar: An Application of $\ell^2$ Decoupling February 24, 2017 (12:00 PM PST - 12:50 PM PST)
Parent Program: Harmonic Analysis MSRI: Simons Auditorium
Speaker(s) Bobby Wilson (University of Washington)
Description No Description
Video
In this talk, we will discuss work concerning the improvement of Strichartz estimates for the cubic nonlinear Schr\"odinger equation on the irrational torus.  A surprisingly crucial aspect of the original problem, for the rational torus, is that we can reduce our estimates to counting lattice points contained in convex bodies.  However, there is a sharp contrast,  in which techniques are applicable, between the case of the irrational torus and the rational torus.  We will discuss how $\ell^2$-decoupling allows us to bridge the gap between the two cases.  (Joint with G. Staffilani, C. Fan, H. Wang)