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Lukas Kühne: Matroids and Algebra

Time: Wed 2021-10-13 10.15 - 11.15

Location: Zoom meeting ID: 654 5562 3260

Participating: Lukas Kühne (Max Planck Institute of Mathematics in the Sciences, Leipzig)

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Abstract: A matroid is a combinatorial object based on an abstraction of linear independence in vector spaces and forests in graphs. I will discuss how matroid theory interacts with algebra via the so-called von Staudt constructions. These are combinatorial gadgets to encode polynomials in matroids.
The main application is concerned with generalized matroid representations over division rings, matrix rings, and probability space representations together with their relation to group theory.

Zoom meeting ID: 654 5562 3260

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