Stachel presents the “prehistory” of the initial-value or Cauchy problem in general relativity.
Sanchez-Ron discussions contemporary reactions to Einstein’s theories, both among mathematicians and physicists, and among philosophers.
Marquis uses functors to specify the relationships between invariants. This recording is incomplete.
Lawvere examines the ideas of toposes and generalised spaces for the geometric insight into reality that they provide.
Michael Wright chairs a discussion with conference attendees about ideals apparent in Grothendieck’s work, including geometry, logic, and the philosophy of generalisation.
McLarty considers the difference between introducing new abstract concepts that generalise old ones, and discarding irrelevant, obfuscating assumptions in order to clarify or unify topics. In particular, he focuses on the latter motivation of Grothendieck and Noether.
Cartier reflects on the advantages and disadvantages afforded by set- and category-theoretic formalisations of mathematics.
Crane explores the troubled foundations of geometry, quantum field theory and general relativity, and introduces his notion of the quantum topos.
Lecture with Steven Weinberg on the topic of Continuous and Discrete Symmetries in Physics
Lecture with Td Lee on the topic of Structuralism and Realism