Long time Strichartz estimates on tori

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Pierre Germain, Courant Institute of Mathematical Sciences, New York University

The question of Strichartz estimates on tori on a time scale 1听has been fully answered in the recent work of Bourgain and Demeter. On听longer time scales, rational and irrational tori behave very differently.听I will present new results in this direction, natural conjectures, and听sketch some possible nonlinear applications. This is joint work with Yu听Deng, Larry Guth, and Simon Myerson.