Seminar series
Date
Mon, 09 Jun 2025
15:30
Location
L5
Speaker
Guy Boyde
Organisation
Universiteit Utrecht

Temperley-Lieb algebras are certain finite-dimensional algebras coming originally from statistical physics and knot theory. Around 2019, they became one of the first examples of homological stability for algebras (homology is here taken to be certain Tor-groups), when Boyd and Hepworth showed that in low dimensions the homology vanishes. We're now able to give complete calculations of their homology, which has a surprisingly rich structure (and in particular is very far from vanishing). This is joint work in progress with Rachael Boyd, Oscar Randal-Williams, and Robin Sroka. Prerequisites will be minimal: it will be enough to know what Tor is.

Last updated on 2 Jun 2025, 2:37pm. Please contact us with feedback and comments about this page.