
Title: Lecture 2: Entanglement of Sections
Speaker: Michael Freedman
Abstract: The elementary subject of finite dimensional vector spaces (perhaps with a non-degenerate inner product) has two prominent extensions: Bundle Theory, in which linear spaces and maps are considered in families, and Quantum Information where the vectors spaces (“Hilbert spaces” ) are endowed with tensor structures indicating which factors are under the control of which parties: Alice, Bob, Claire, etc… . Matt Hastings and I recently have investigated the “push-out”: how these two extensions of linear algebra interact.