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Dual of the Dual Formula for Distance in Noncommutative Geometry

Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Tags

Noncommutative Geometry Courses Functional Analysis Courses C* algebras Courses Optimal Transport Courses Wasserstein Distances Courses

Course Description

Overview

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Explore a 46-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into Connes's spectral distance, an extended metric on the state space of a C*-algebra that generalizes Kantorovich's dual formula of the Wasserstein distance of order 1 from optimal transport. Discover a new dual formula, presented as an infimum, which generalizes Beckmann's "dual of the dual" formulation of the Wasserstein distance. Gain insights into noncommutative geometry and its applications in mathematical physics through this advanced presentation on the dual of the dual formula for distance.

Syllabus

Pierre Martinetti - Dual of the dual formula for the distance in noncommutative geometry


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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