### A multidimensional version of a nonlinear Roth theorem

Ergodic Theory and Dynamical Systems Seminar

2nd November 2023, 2:00 pm – 3:00 pm

Fry Building, G.07

A nonlinear version of Roth's theorem states that dense sets of integers contain configurations of the form x, x+y, x+y^2. We discuss a multidimensional version of this result, previously proved using dynamical methods, with a focus on quantitative issues.

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