Tuesday, April 19, 2022
2:30 PM -
3:30 PM
Online and In-Person Event
Caltech/UCLA/USC Joint Analysis Seminar
A small cap decoupling for the twisted cubic
Hongki Jung,
Department of Mathematics,
Indiana University Bloomington,
In-person held at Caltech 310 Linde Hall
Small cap decouplings deal with decoupling estimates for caps that are smaller than the canonical size. In 2019, Demeter, Guth and Wang studied small cap decoupling for exponential sums with frequency points supported on the cubic moment curve. In this talk, I will discuss the proof of $L^{10}$ small cap decoupling for general functions, which involves incidence estimates for tubes and planks in $\mathbb{R}^3$.
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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].