June 11, 2021
Title: Scanning embeddings by points
Speaker: Pedro Boavida de Brito (Special session joint with the TopICS seminar. Two lectures, the first starting at 3:00pm)
I will survey some old ideas and some recent developments in the study of spaces of smooth embeddings, starting from the early work of Haefliger, and leading on to the embedding calculus of Goodwillie-Weiss.
In the second part, I will focus on the case of classical knots and discuss some questions and recent progress on relating the homotopical approach to finite type theory.