# The discrete spherical maximal function and Waring's problem

Friday, March 7, 2014 -

3:15pm to 4:15pm

Please note special day (Friday). We will start by motivating some problems in discrete harmonic analysis by discussing their Euclidean counterparts. Then I will discuss Stein's spherical maximal function, Magyar's discrete version and the ideas behind Magyar-Stein-Wainger's theorem (proving L^p boundedness). We will pay particular attention to the synthesis of ideas from harmonic analysis and analytic number theory. I will then discuss higher degree versions and lacunary versions. I will conclude with applications to ergodic theory and combinatorics. If time permits, we will discuss the connection to restriction theorems.

Speaker:

Kevin Hughes

Edinburgh University

Event Location:

Fine Hall 322