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SUMMARY:Homological stability for Temperley-Lieb algebras - Rachael Boyd\,
  Cambridge
DTSTART:20211117T160000Z
DTEND:20211117T170000Z
UID:TALK162580@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Many sequences of groups and spaces satisfy a phenomenon calle
 d 'homological stability'. I will present joint work with Hepworth\, in wh
 ich we abstract this notion to sequences of algebras\, and prove homologic
 al stability for the sequence of Temperley-Lieb algebras. The proof uses a
  new technique of 'inductive resolutions'\, to overcome the lack of flatne
 ss of the Temperley-Lieb algebras. I will also introduce the 'complex of p
 lanar injective words' which plays a key role in our work. Time permitting
 \, I will explore some connections to representation theory and combinator
 ics that arose from our work.
LOCATION:MR13
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