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Constructing Distance Realizers via Midpoints in Lorentzian Mid-Length Space

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

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Mathematical Physics Courses Lorentzian Geometry Courses

Course Description

Overview

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Explore a 42-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the world of Lorentzian pre-length spaces with an anti-Lipschitz time function, focusing on the null distance for which the space is complete. Discover how ε-midpoints or midpoints between timelike related points, when appropriately bounded away, can be used to construct a (nearly) distance realizer. Learn about this joint work by Tobias Beran and Felix Rott, which contributes to the understanding of non-regular spacetime geometry and its mathematical foundations.

Syllabus

Tobias Beran - Constructing distance realizers via midpoints in Lorenzian mid-length space


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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