Quadrature Rules on Manifolds - Designs - Lecture 1

Explore the first lecture in a series on Quadrature Rules on Manifolds, focusing on Designs, delivered by Giacomo Gigante at the International Centre for Theoretical Sciences. Delve into this hour-long presentation, which is part of the "Modern Trends in Harmonic Analysis" program organized by Jotsaroop Kaur and Saurabh Shrivastava. Gain insights into the application of polynomial methods in harmonic analysis, particularly in addressing Fourier restriction and Bochner-Riesz conjectures. Learn about the intersection of algebraic geometry and harmonic analysis, and discover how these techniques are being used to solve longstanding problems in the field. Understand the context of this lecture within the broader program, which also covers discrete harmonic analysis and features talks by renowned experts in the field.