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SUMMARY:General Jones-Wenzl Idempotents - Robert Spencer
DTSTART:20211110T163000Z
DTEND:20211110T173000Z
UID:TALK165043@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:The Jones-Wenzl idempotents are celebrated elements of Temperl
 ey-Lieb algebras.  Their existence have far-reaching consequences and they
  are the smallest and easiest examples of "clasps" (also known as "magic w
 eave elements") which arise in the study of certain categories of U_q(sl_n
 ) modules.  In this talk\, we will take a whirlwind tour through the repre
 sentation theory of Temperley-Lieb algebras over arbitrary (mixed) charact
 eristic followed by a more sedate\, careful\, walk through the constructio
 n of the generalised Jones-Wenzl idempotents.  The procedure is suggestive
  of a larger theory\, and we will briefly touch on applications of the con
 struction to tilting categories and relations to other interesting (positi
 ve characteristic) constructions.
LOCATION:MR12
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