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The homology of a Temperley-Lieb algebra on an odd number of strands

Ponente: Robin Sroka
Institución: McMaster University
 Tipo de Evento: Investigación
Cuándo 31/03/2022
de 13:00 a 14:00
Dónde En linea (zoom)
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Recent work of Boyd, Hepworth and Patzt studies stability patterns in the homology of sequences of abstract algebras. Inspired by their ideas, we introduce the "cellular Davis complex" of a Temperley-Lieb algebra. This contractible chain complex admits a simple diagrammatic description and can be seen as an algebraic analogue of the Davis complex of a Coxeter group. Extending previous results of Boyd and Hepworth, we will explain how this chain complex can be used to show that the homology of any Temperley-Lieb algebra on an odd number of strands vanishes in positive degrees.