Explore the second lecture in a series on Nikodym sets and maximal functions associated with spheres, delivered by Jongchon Kim from City University of Hong Kong. Delve into advanced topics in harmonic analysis as part of the "Modern Trends in Harmonic Analysis" program organized by the International Centre for Theoretical Sciences. Gain insights into cutting-edge developments in polynomial methods and discrete harmonic analysis, with a focus on Fourier restriction, Bochner-Riesz conjectures, and their applications. Benefit from expert perspectives on recent breakthroughs in the field and potential future research directions.