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« Bounds for subsets of $mathbb{F}_p^n times mathbb{F}_p^n$ without L-shaped configurations
Bounds for subsets of $mathbb{F}_p^n times mathbb{F}_p^n$ without L-shaped configurations
September 20, 2021, 2:00 PM - 3:00 PM
Location:
Hill Center-Room 705
Sarah Peluse, Princeton University and Institute for Advanced Study
I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemeredi’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.