Seminar
Parent Program: | |
---|---|
Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
(Colloquium-Style Talk)
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)
No Notes/Supplements Uploaded No Video Files Uploaded