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Explore an in-depth discussion on Montgomery's Large Value Problem in this online lecture by Larry Guth, presented as part of the Modern Trends in Harmonic Analysis program at the International Centre for Theoretical Sciences. Delve into advanced topics in harmonic analysis, focusing on polynomial methods and their applications to long-standing problems in the field. Gain insights into recent developments and breakthroughs in Fourier restriction and Bochner-Riesz conjectures using algebraic geometry tools. Learn about the intersection of harmonic analysis with number theory and discrete mathematics, and discover how new techniques like sparse domination are advancing research in discrete averages and maximal functions. Suitable for mathematicians and researchers interested in cutting-edge developments in harmonic analysis, this lecture offers a unique opportunity to engage with complex mathematical concepts presented by a leading expert in the field.
