Nikos Frantzikinakis

Multidimensional Szemer\'edi Theorem for Pairwise Independent Jointly Intersective Polynomials

We develop a new approach to the Joint Intersectivity Conjecture of Bergelson, Leibman, and Lesigne for commuting transformations. The conjecture asserts that the necessary divisibility condition is the only obstruction to polynomial multiple recurrence and, consequently, to the multidimensional polynomial Szemer\'edi...