Polynomial methods in Harmonic Analysis: a finite field model for the Kakeya Problem

Itamar OliveiraCornell University
The polynomial ham sandwich theorem

Tuesday, January 30, 2018 - 5:50pm
Malott 420C

Seminar Description

Our initial plan is to gain a working understanding of polynomial
methods in Analysis. Results we may be focusing on include

Guth, Katz 2011 - On the Erdo"s distinct distance problem in the plane
Arxiv 1011.4105v3

Du, Guth, Li 2016 - A sharp Schrodinger maximal estimate in R2
Arxiv 1612.08946

Our sessions are between 45 - 90 min depending on the topic and the
disposition of the audience. We are interested in a variety of topics in
analysis and we look forward to learning new ideas that may very well be
separate from the specific research topics of the participants. Please
feel welcome to come and/or suggest new themes. We are also flexible in
terms of the time of our meetings.

Today

Itamar Oliveira will present the proof of the Finite Field Kakeya
problem, a very short argument given by Dvir in 2009.