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Bernd Sturmfels (MPI-MiS) - Four-dimensional Lie algebras revisited

Ort: Room S015 (Seminargebäude)

Abstract: We discuss a system of 16 quadratic equations in 24 variables that arises in the study of Lie algebras. The solutions are the Lie algebra structures on a 4-dimensional vector space. There are four irreducible components of dimension 11. We compute their degrees and Hilbert polynomials, and thereby answer a 1999 question by Kirillov and Neretin. This is joint work with Laurent Manivel and Svala Sverrisdottir.
 
Seminar webpage: https://www.math.uni-leipzig.de/~grabowski/acseminar/">https://www.math.uni-leipzig.de/~grabowski/acseminar/

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Beginn: Nov. 3, 2022, 1 p.m.

Ende: Nov. 3, 2022, 2 p.m.