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Tim Browning: Square-free hyperplanes on quadrics

Tim Browning, University of Bristol

Tid: Ti 2012-01-17 kl 13.15

Plats: Room 3721

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The frequency of square-free values of polynomials is investigated as the variables run over integral points on an affine quadric. The proof combines dynamical systems with a refined uniform "dimension growth" estimate for quadrics. This is joint work with A. Gorodnik.