Symmetries of Manifolds - Lecture 3

Explore the final lecture in Oscar Randal-Williams' series on "Symmetries of Manifolds" as part of the 2024 Unni Namboodiri Lectures in Geometry and Topology at the University of Chicago Department of Mathematics. Delve into the study of mathematical objects and their symmetries, focusing on manifolds as central objects in topology and geometry. Examine various types of symmetry groups, including isometries, diffeomorphisms, and homeomorphisms. Discover classical and recent results about symmetry spaces of simple manifolds such as spheres, discs, and Euclidean space. Learn about cutting-edge methods used to study these symmetries and gain insight into the emerging conjectural picture in this field. This hour-long lecture offers an in-depth exploration of advanced concepts in geometry and topology for mathematics enthusiasts and researchers.