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Colloquium
Sum-product phenomenon for sets of positive density in the integer lattice
Dec 10, 14:30—15:30, 2024, Math -101
Speaker
Alexander Fish (University of Sydney)
Abstract
We will present a refinement, developed in collaboration with Bjorklund, of Furstenberg’s ergodic-theoretic approach tailored to addressing the problem of identifying ‘twisted infinite patterns’ in positive-density subsets of the integer lattice. These patterns correspond to an infinite structure within the ‘sum-products’ formed by such sets. The talk is based on joint work with Bjorklund, Bulinski, and Skinner.