Lemma of Cassels and Montgomery and Irregularities of Distribution on Two Point Homogeneous Spaces

Explore the Lemma of Cassels and Montgomery and its applications to irregularities of distribution on two point homogeneous spaces in this 34-minute conference talk. Delve into advanced mathematical concepts at the intersection of Fourier analysis and distribution theory, presented as part of the "Fourier Analysis & Beyond" workshop at Instituto de Matemática Pura e Aplicada in Rio de Janeiro. Learn about the theoretical foundations and recent developments in this specialized area of mathematics, examining how classical results in number theory and harmonic analysis extend to geometric settings. Discover the connections between distribution irregularities and homogeneous spaces, gaining insights into current research directions in this field. The presentation forms part of a comprehensive workshop featuring mini-courses, invited talks, and contributed presentations from international specialists, designed to showcase cutting-edge research at the interface of Fourier analysis and related mathematical areas.