Modern Trends in Harmonic Analysis

Explore cutting-edge developments in harmonic analysis through this comprehensive program featuring expert lectures and research talks. Delve into polynomial methods in harmonic analysis and discrete harmonic analysis, focusing on recent breakthroughs in Fourier restriction, Bochner-Riesz conjectures, and discrete analogues with connections to number theory. Learn about the powerful technique of sparse domination and its applications to discrete averages and maximal functions. Attend thematic lectures on sharp restriction estimates, quadrature rules on manifolds, and discrete harmonic analysis, presented by renowned experts in the field. Gain insights into solving complex problems using tools from algebraic geometry and discover future prospects in these exciting areas of harmonic analysis. Engage with a diverse group of international speakers, both in-person and online, covering a wide range of topics within the program's themes. Suitable for mathematicians and researchers working in related areas, this program aims to provide a comprehensive overview of modern techniques and foster new research projects in harmonic analysis.