Explore the intricacies of semilocal adelic prolate operators and stable Sonin spaces in this 57-minute lecture delivered by Henri Moscovici from The Ohio State University at the Fields Institute. Presented on December 8, 2023, as part of the Workshop on Operator Algebras and Applications: Non-Commutative Geometry, this talk delves into advanced mathematical concepts within the broader context of the Thematic Program on Operator Algebras and Applications. Gain insights into cutting-edge research in operator theory and its applications to non-commutative geometry.