Skip to main content
Browse by:

Until further notice, in-person public events have been canceled. Event listings include how to access online content.
Please check before coming to campus.

Incidence estimates for tubes with application to Fourier analysis

Frontiers In Mathematics Distinguished Lecture Series (Lecture 2)
Icon calendar
Friday, September 25, 2020
Icon time
12:00 pm - 1:00 pm
Icon speaker
Hong Wang (IAS)
Icon series
Frontiers In Mathematics Distinguished Lecture Series (Lecture 2)

If T is a collection of distinct tubes of length N, radius 1 and P is a collection of disjoint unit balls, what is the largest size of their incidences I(P,T)={(p,T):|p¿T|¿1/10,p¿P,T¿T}? We will use some basic Fourier analysis to give upper bounds on the number of incidences. Then we discuss how to use these upper bounds to solve some problems in Fourier analysis. This includes joint work with Larry Guth, Noam Solomon, and Ciprian Demeter.

Contact: Lillian Pierce