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Caltech

Information, Geometry, and Physics Seminar

Wednesday, November 8, 2023
2:00pm to 3:00pm
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Linde Hall 310
Higher Information: The untold topological secrets of measures and states
Tom Mainiero, Department of Mathematics & Computer Science, St. Joseph's University,

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).

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].