Information, Geometry, and Physics Seminar

In the futuristic year 2023, an ex cohomological cop (Harrison Ford) is pulled out of retirement to track down obstructions to the factorizability of multipartite measures: entangled states and their classical counterparts...joint probability measures. A vast conspiracy is uncovered: associated to every multipartite measure is an emergent space whose topology encodes non-local correlations between various subsystems. Probing this space with tools with homology, homotopy, and category theory reveals evidence that entropy and mutual information are Euler characteristics: puppets in a larger informatic ruse. Join as we slowly uncover pieces of the big picture, unmasking filthy rich measures of shared information higher up on the food chain (complex).