Universal central extensions of the Lie algebra of volume-preserving vector fields

14.06.2024, 11:00 Uhr  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Leonid Ryvkin (Lyon)

The goal of the talk is proving a conjecture of Claude Roger about the universal central extension of the Lie algebra of volume-preserving vector fields. In the beginning we will briefly review the notion of central extensions of Lie algebras and their link to Chevalley-Eilenberg-cohomology. We will then proceed to Rogers conjecture, which lies in the (continuous) infinite-dimensional setting.
     To solve it we will need a combination of analytical and geometrical methods, and maybe even a bit of representation theory. Based on an ongoing collaboration with Bas Janssens and Cornelia Vizman.


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