Tue, 07 Feb 2023
15:30 -
16:30
Virtual
Bounds for subsets of $\mathbb{F}_{p}^{n} \times \mathbb{F}_{p}^{n}$ without L-shaped configurations
Sarah Peluse
(Princeton/IAS)
Further Information
Part of the Oxford Discrete Maths and Probability Seminar, held via Zoom. Please see the seminar website for details.
Abstract
I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemerédi's theorem and describe a proof of such bounds for sets lacking nontrivial configurations of the form (x,y), (x,y+z), (x,y+2z), (x+z,y) in the finite field model setting.