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UID:9278@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20261008T110000
DTEND;TZID=Europe/Paris:20261008T123000
DTSTAMP:20261005T101308Z
URL:https://www.i2m.univ-amu.fr/evenements/regular-polygraphs-and-a-homoto
 pical-pasting-theorem/
SUMMARY:Clémence Chenavat (Tallinn University of Technology): Regular poly
 graphs and a homotopical pasting theorem
DESCRIPTION:Clémence Chenavat: A directed complex is a combinatorial objec
 t that encodes the data necessary\nto define a regular polygraph.\nI will 
 start by presenting Hadzihasanovic's theory of higher-categorical\ndiagram
 s\, whose basic objects (the atoms and molecules) are the shapes with\nwhi
 ch directed complexes are built.\nI will then explain how to generate a st
 rict w-category from a directed\ncomplex\, and why this construction does 
 not always produce a polygraph unless\nwe impose on strict w-categories hi
 gher exchange laws prescribed by\ncombinatorial topology.\nFinally\, I wil
 l present a homotopical pasting theorem\, extending recent\nresults of Cam
 pion\, establishing that a certain class of directed complexes\nproduces h
 omotopy polygraphs\, meaning that the cellular extensions defining\nthem a
 re homotopy pushouts in the theory of (oo\, n)-categories.
CATEGORIES:Séminaire,Logique et Interactions
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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