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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20200615T131142Z
DTSTART:20200616T130000Z
DTEND:20200616T140000Z
SUMMARY:Manchester Algebra Seminar - Sira Gratz - SL(k)-friezes
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}ntg-ka2bzq8
 o-yg2l07
DESCRIPTION:Speaker: Sira Gratz - University of Glasgow\n\nTitle:  SL(k)-
 friezes\n\nAbstract: Classical frieze patterns are combinatorial structu
 res which relate back to Gauss' Pentagramma Mirificum\, and have been ex
 tensively studied by Conway and Coxeter in the 1970's.\nA classical frie
 ze pattern is an array of numbers satisfying a local (2 x 2)-determinant
  rule. Conway and Coxeter gave a beautiful and natural classification of
  SL(2)-friezes via triangulations of polygons. This same combinatorics o
 ccurs in the study of cluster algebras\, and has revived interest in the
  subject. From this point of view\, a natural way to generalise the noti
 on of a classical frieze pattern is to ask of such an array to satisfy a
  (k x k)-determinant rule instead\, for k bigger than 2\, leading to the
  notion of higher SL(k)-friezes. While the task of classifying classical
  friezes yields a very satisfying answer\, higher SL(k)-friezes are not 
 that well understood to date.\nIn this talk\, we'll discuss how one migh
 t start to fathom higher SL(k)-frieze patterns. The links between SL(2)-
 friezes and triangulations of polygons suggests a link to Grassmannian v
 arieties under the Plücker embedding. We find a way to exploit this rela
 tion for higher SL(k)-friezes\, and provide an easy way to generate a nu
 mber of SL(k)-friezes via Grassmannian combinatorics\, and suggest some 
 ideas towards a complete classification using the theory of cluster alge
 bras.\nThis talk is based on joint work with Baur\, Faber\, Serhiyenko a
 nd Todorov.\n\nPlace: Zoom\n\nLink: https://zoom.us/j/93639790426\n\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Zoom - online\, Alan Turing Building\, Manchester
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