Michael Freedman | A personal story of the 4D Poincare conjecture скачать в хорошем качестве

Michael Freedman | A personal story of the 4D Poincare conjecture

Throughout the 20-21 academic year, the CMSA will be hosting a lecture series on literature in the mathematical sciences, with a focus on significant developments in mathematics that have influenced the discipline, and the lifetime accomplishments of significant scholars. Talks will take place throughout the semester. All talks will take place virtually. Written articles will accompany each lecture in this series and be available as part of the publication “The Literature and History of Mathematical Science“ Speaker: Michael Freedman (Microsoft – Station Q) Title: A personal story of the 4D Poincare conjecture Abstract: The proof of PC4 involved the convergence of several historical streams. To get started: high dimensional manifold topology (Smale), a new idea on how to study 4-manifolds (Casson), wild "Texas" topology (Bing). Once inside the proof: there are three submodules: Casson towers come to life (in the sense of reproduction), a very intricate explicit shrinking argument (provided by Edwards), and the "blind fold" shrinking argument (which in retrospect is in the linage of Brown's proof of the Schoenflies theorem). Beyond those mentioned: Kirby, Cannon, Ancel, Quinn, and Starbird helped me understand my proof. I will discuss the main points and how they fit together.