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UID:5686@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230327T150000
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DTSTAMP:20241120T200147Z
URL:https://www.i2m.univ-amu.fr/evenements/on-a-faithful-representation-of
 -sturmian-morphisms/
SUMMARY:Štěpán Starosta (Faculty of Information Technology\, CTU in Prag
 ue): On a faithful representation of Sturmian morphisms
DESCRIPTION:Štěpán Starosta: The set of morphisms mapping any Sturmian s
 equence to a Sturmian sequence forms together with composition the so-call
 ed monoid of Sturm. For this monoid\, we define a faithful representation 
 by (3×3)-matrices with integer entries. We find three convex cones in R3 
 and show that a matrix R∈Sl(Z\,3) is a matrix representing a Sturmian mo
 rphism if the three cones are invariant under multiplication by R or R−1
 . This property offers a new tool to study Sturmian sequences. We provide 
 alternative proofs of four known results on Sturmian sequences fixed by a 
 primitive morphism and a new result concerning the square root of a Sturmi
 an sequence.\n&nbsp\;\n\n\n\nThe address of the Zoom meeting is https://zo
 om.us/j/92245493528 . The password is distributed in announcements. If you
  want to receive them\, or receive them and want to unsubscribe\, please w
 rite to Anna Frid.\nMore info: https://www.i2m.univ-amu.fr/wiki/Combinator
 ics-on-Words-seminar/
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 023/03/image_seminar_Words-arxiv.2203.00373-Sturmian_morphisms-example_27-
 Lepsova-Pelantova-Starosta.jpg
CATEGORIES:Combinatorics on Words Seminar,Virtual event
LOCATION:Virtual event\, visioconférence\, virtual\, France
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