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Explore global solutions with asymptotic self-similar behavior for the cubic wave equation in this comprehensive lecture by Giuseppe Negro at the International Centre for Theoretical Sciences. Delve into advanced concepts in harmonic analysis, focusing on polynomial methods and discrete harmonic analysis. Gain insights into recent developments in Fourier restriction and Bochner-Riesz conjectures, and learn how tools from algebraic geometry are applied to solve complex mathematical problems. Discover the connections between discrete harmonic analysis and number theory, and understand the application of sparse domination techniques to address challenges related to discrete averages and maximal functions.
