UNAM

Homological stability for Temperley-Lieb algebras

Ponente: Rachael Boyd
Institución: Max Planck Institute
Tipo de Evento: Investigación

Cuándo 29/04/2021
de 13:00 a 14:00
Dónde En linea (zoom)
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Many sequences of groups and spaces satisfy a phenomenon called 'homological stability'. I will present joint work with Hepworth, in which we abstract this notion to sequences of algebras, and prove homological stability for the sequence of Temperley-Lieb algebras. The proof uses a new technique of 'inductive resolutions', to overcome the lack of flatness of the Temperley-Lieb algebras. I will also introduce the 'complex of planar injective words' which plays a key role in our work. Time permitting, I will explore some connections to representation theory and combinatorics that arose from our work. I will aim this talk at a broad topological audience, and assume no prior knowledge of homological stability or Temperley-Lieb algebras.