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SUMMARY:Cell modules for the Temperley—Lieb algebra in mixed characteris
 tic - Charles Senecal\, University of Cambridge
DTSTART:20250305T163000Z
DTEND:20250305T173000Z
UID:TALK227605@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:Introduced in the 1970s\, the family of Temperley—Lieb algeb
 ras TL_n have since appeared in many different areas of representation the
 ory\, from lattice models in statistical physics to categorification of He
 cke algebras in the theory of Soergel bimodules. While their representatio
 n theory in characteristic zero has been well understood for some time\, t
 he situation over a field of positive characteristic is much more intricat
 e. After an introduction to Temperley—Lieb diagrams and to the language 
 of cellular algebras\, we will describe recent results about the structure
  of the so-called cell modules for TL_n in the mixed characteristic case\,
  making an explicit use of TL_n’s rôle in the Schur—Weyl duality for 
 quantum sl_2 along the way. This is joint work with S. Martin and R. Spenc
 er.
LOCATION:MR12
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