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In this 57-minute lecture, Alain Connes presents his joint work with Walter van Suijlekom on zeros of Fourier transforms of extremal eigenvectors for quadratic forms associated with distributions on bounded intervals and their connection to the spectral action. Explore how these results advance the zeta spectral triple research conducted with Consani and Moscovici, and discover the connections between non-commutative geometry and physics. The talk was recorded during the thematic meeting "Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time" on April 10, 2025, at the Centre International de Rencontres Mathématiques in Marseille, France. Access this video and other mathematical talks on CIRM's Audiovisual Mathematics Library (http://library.cirm-math.fr), featuring chapter markers, keywords, abstracts, bibliographies, and multi-criteria search functionality.
