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Sino-Russian Mathematics Center-JLU Colloquium (2025-007)—Tanaka prolongation procedure, Kantor algebras, and (homotopy) Leibniz structures

Posted: 2025-03-12   Views: 
Title: Tanaka prolongation procedure, Kantor algebras, and (homotopy) Leibniz structures
Speaker: Alexie Kotov
Institution: University of Hradec Králové (UHK)
Date & Time: March 13, 2025, 21:00–23:00
Location: Zoom ID: 904 645 6677, Password: 2024
Meeting Link: //zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456

Abstract

In the first part of this lecture, a brief introduction to Tanaka's theory of prolongation of non-positively graded Lie algebras will be given. This procedure will then be applied to a free Lie superalgebra. It will be shown that the resulting graded Lie superalgebra contains complete information about Leibniz brackets. At the end of the lecture, if time permits, the lecturer will explain the connection between the structures discussed and functional calculus on path spaces.

Biography of the Speaker

Alexei Kotov is a professor at the University of Hradec Králové (UHK), Czechia. His research interests include super- and graded geometry, special Riemannian geometry, Lie algebroids and groupoids, geometry of PDEs, and non-linear sigma models.

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