# Workshop on Additive Combinatorics and Algebraic Connections

## Bounds for Subsets of $\mathbb{F}_p^n \times \mathbb{F}_p^n$ without L-shaped Configurations

Abstract: I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemer\’edi’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.

### Date & Time

October 27, 2022 | 10:00am – 11:00am

### Location

Simonyi 101 and Remote Access

### Speaker Affiliation

Member, School of Mathematics