Explore the equivariant homotopical lift of the h-cobordism theorem in this lecture by Mona Merling from the University of Pennsylvania. Delve into Waldhausen's algebraic K-theory of manifolds and its significance in the classification of manifolds and their diffeomorphisms. Gain insights into joint research with Goodwillie, Igusa, and Malkiewich, focusing on the critical connection between homotopy theoretic constructions and manifold classification. Examine how equivariant A-theory relates to spaces of equivariant h-cobordisms in this hour-long presentation from the University of Miami.