Speaker:  Sarah Peluse (Princeton/IAS)

Title:  Bounds for subsets of Fp^n × Fp^n without L-shaped configurations

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.