From Rings of Operators to Noncommutative Geometry - Lecture 3

Explore the evolution from rings of operators to noncommutative geometry in this 57-minute lecture delivered by renowned mathematician Alain Connes from IHES and Collège de France. Presented as part of the Coxeter Lecture Series at the Fields Institute on December 8, 2023, delve into advanced mathematical concepts that bridge the gap between operator theory and geometric principles. Gain insights into the development of noncommutative geometry and its implications in modern mathematics. Suitable for advanced students and researchers in mathematics, particularly those interested in operator algebras and their applications.

Lecture 03 | From rings of operators to noncommutative geometry