Seminar by Sarah Peluse, IAS
Bounds for subsets of Fnp×FnpFpn×Fpn 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.
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