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Research Van Swinderen Institute

VSI Seminar, Roland van der Veen

When:Th 17-02-2022 15:00 - 16:00
Where:Zoom meeting

17 February 2022, 15.00

Speaker: Roland van der Veen

Title: Almost-commutative differential geometry and physics

Abstract: Differential geometry provides a rich language for formulating many physical models, from fluid flow to Maxwell's equations and general relativity. However when the distances get very small the validity of these models is less clear as puzzling singularities, turbulence and quantum effects start to appear. To improve our models we aim to discretize the theory in a way that allows for small non-commutative effects. Following work by Shahn Majid we will illustrate such a program in the case of Maxwell's equations on a graph. The key idea is to formulate all of differential geometry in terms of differential forms f dx, allowing the algebra of functions f to be slightly non-commutative.

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