Pointwise Ergodic Theorems for Non-Conventional Polynomial Averages by Benjamin Krause

Explore the intricacies of pointwise ergodic theorems for non-conventional polynomial averages in this comprehensive conference talk by Benjamin Krause. Delve into advanced concepts in harmonic analysis as part of the "Modern Trends in Harmonic Analysis" program at the International Centre for Theoretical Sciences. Gain insights into the latest developments in polynomial methods and discrete harmonic analysis, with a focus on their applications to outstanding problems in the field. Examine the intersection of algebraic geometry and harmonic analysis, and discover how these techniques are revolutionizing approaches to Fourier restriction and Bochner-Riesz conjectures. Benefit from expert perspectives on sharp restriction estimates, quadrature rules on manifolds, and discrete harmonic analysis, while engaging with cutting-edge research presented by renowned mathematicians from around the world.