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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20200508T121646Z
DTSTART:20200512T130000Z
DTEND:20200512T140000Z
SUMMARY:Manchester Algebra Seminar - Dimitris Michailidis - Bases of simp
le representations of Temperley-Lieb algebras of type B
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DESCRIPTION:Speaker: Dimitris Michailidis\n\nTitle: Bases of simple repr
esentations of Temperley-Lieb algebras of type B\n\nAbstract: Inspired f
rom the study of certain models in physics\, Martin and Saleur defined t
he Temperley-Lieb algebra of type B or blob algebra as the diagrammatic
two parameter generalisation of the Temperley-Lieb algebra of type A. Th
e blob algebra can also be viewed as quotient of the Hecke algebra of ty
pe B\, hence it is isomorphic to a quotient of the (graded) KLR algebra
via the Brundan-Kleshchev isomorphism. It is also cellular\, with cellul
ar basis indexed by standard tableaux of one-column bipartitions. Each o
ne-column bipartition can be embedded in the two dimensional Euclidean s
pace and there is a bijection between standard tableaux and paths in the
Euclidean space. The aim of the talk is to describe the construction o
f bases for the simple representations of the blob algebra. Those bases
are indexed by paths in the Euclidean space with respect to the alcove g
eometry of affine type A_1. If time permits we shall also give a homolog
ical construction of the simple representations via the\, so called\, BG
G resolutions.\n\nTime: 2pm\n\n\nPlace: Zoom
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Zoom - online\, Alan Turing Building\, Manchester
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