The Polynomial Method in Harmonic Analysis
The Polynomial Method in Harmonic Analysis

Kevin Hughes
Fine Hall 314
We'll discuss incidence problems in harmonic analysis. I'll focus on recent progress which interestingly comes from algebra and topology. In particular, we'll examine Dvir's proof of the Kakeya conjecture over finite fields, Guth's endpoint estimate for the multilinear Kakeya function which used tools from algebraic topology and the joints problem.