On the Group of Real-Analytic Diffeomorphisms - Lecture 2

Watch a one-hour lecture from the Centre International de Rencontres Mathématiques exploring the second part of a series on real-analytic diffeomorphisms. Delve into the regimentation lemma and its role as an alternative to partition of unity in real analytic category. Learn how manifolds with nontrivial circle actions demonstrate that real analytic diffeomorphisms isotopic to identity are homologous to orbitwise rotations. Part of the "Foliations and Diffeomorphism Groups" thematic meeting, this mathematical presentation builds on the first lecture's exploration of Herman's theorem and fundamental real analytic concepts, setting up for the third lecture's examination of circle actions and perfect identity components in diffeomorphism groups. Access chapter markers, keywords, abstracts, and bibliographic references through CIRM's Audiovisual Mathematics Library for enhanced learning navigation.