Explore quadrature rules on manifolds in this lecture by Giacomo Gigante, part of the "Modern Trends in Harmonic Analysis" program at the International Centre for Theoretical Sciences. Delve into the topic of partitions as it relates to quadrature rules on manifolds, gaining insights into this important area of harmonic analysis. Learn about recent developments in polynomial methods and discrete harmonic analysis, and understand how these techniques are applied to solve complex problems in the field. Benefit from the expertise of a renowned speaker in a comprehensive program designed to introduce path-breaking advancements in harmonic analysis to researchers and mathematicians.