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Explore the fascinating world of harmonic analysis in this comprehensive lecture by Malabika Pramanik titled "Points and Distances." Delve into modern trends in harmonic analysis, focusing on polynomial methods and discrete harmonic analysis. Learn about recent breakthroughs in Fourier restriction and Bochner-Riesz conjectures using algebraic geometry tools. Discover how sparse domination techniques are applied to discrete averages and maximal functions. Gain insights into sharp restriction estimates, quadrature rules on manifolds, and discrete harmonic analysis from expert speakers. Understand the connections between harmonic analysis and number theory, and explore future research prospects in this exciting field.
