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Watch this 21-minute conference talk exploring global hypoellipticity of G-invariant operators on homogeneous vector bundles, presented by Andre Kowacz from UFPR at the Instituto de Matemática Pura e Aplicada. Delve into advanced mathematical concepts at the intersection of Fourier analysis and differential geometry, examining how G-invariant operators behave on homogeneous vector bundles and their global hypoellipticity properties. Learn about the theoretical foundations and applications of these operators in the context of harmonic analysis and partial differential equations. Gain insights into cutting-edge research in mathematical analysis as part of the "Fourier Analysis & Beyond" workshop series, which brings together specialists to present recent contributions and stimulate new research directions in Fourier analysis and related areas.
