Distance Problems and Their Many Variants - Lecture 2

Explore the intricacies of distance problems and their various forms in this lecture by Eyvindur Ari Palsson, 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 discrete harmonic analysis. Gain insights into recent developments in Fourier restriction and Bochner-Riesz conjectures, and understand how tools from algebraic geometry are applied to solve complex mathematical problems. Learn about the discrete analogues in harmonic analysis and their connections to number theory, as well as the application of sparse domination techniques to address challenges related to discrete averages and maximal functions. Benefit from this comprehensive overview of cutting-edge techniques in harmonic analysis, preparing you for potential research projects in this exciting field.