Bordism of Manifolds - Lecture 1

Explore the concept of bordism of manifolds in this lecture delivered by Mohammed Abouzaid from Stanford University as part of the Clay Mathematics Institute Lectures series. Delve into the fundamental principles and applications of bordism theory in topology and geometry. Learn about the classification of manifolds up to bordism and its significance in various mathematical contexts. Gain insights into the connections between bordism and other areas of mathematics, such as algebraic topology and differential geometry. Examine key examples and theorems that illustrate the power and versatility of bordism theory. Note that there may be some audio issues in the first few minutes of the recording due to a technical problem.