How numbers interact with curves

Abstract: We show how discrete versions of averaging operators from harmonic analysis behave drastically differently from their continuous counterparts. We do this through examples: starting with a bit of history and ending by sampling recent results. We plan to discuss the case of the spherical maximal function, introducing several variants, such as averaging along primes, which allow us to describe precise lattice point distribution.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2021)

Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

Registration for the conference is free. Register at cant2021.eventbrite.com.

The conference website is www.theoryofnumbers.com/cant/ Lectures will be broadcast on Zoom. The Zoom login will be emailed daily to everyone who has registered on eventbrite. To join the meeting, you may need to download the free software from www.zoom.us.

The conference program, list of speakers, and abstracts are posted on the external website.