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UID:20260408T052103EDT-5703tCckmU@132.216.98.100
DTSTAMP:20260408T092103Z
DESCRIPTION:Title: An Algebraic Combinatorial Approach to the Abstract Synt
 ax of Opetopic Structures\n	Abstract\n	The starting point of the talk will b
 e the identification of structure common to tree-like combinatorial object
 s\, exemplifying the situation with abstract syntax trees (as used in form
 al languages) and with opetopes (as used in higher-dimensional algebra). T
 he emerging mathematical structure will be then formalised in a categorica
 l setting\, unifying the algebraic aspects of the theory of abstract synta
 x [2\, 3] and the theory of opetopes [6]. This realization allows one to t
 ransport viewpoints between the two mathematical theories and I will explo
 re it here in the direction of higher-dimensional algebra\, giving an alge
 braic combinatorial framework for a generalisation of the slice constructi
 on [1] for generating opetopes. The technical work will involve setting up
  a microcosm principle for near-semirings [5] and exploiting it in the car
 tesian closed bicategory of generalised species of structures [4].\n\n(Ref
 erences may be found on the seminar webpage)\n
DTSTART:20190917T183000Z
DTEND:20190917T193000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Marcelo Fiore (Cantab)
URL:https://www.mcgill.ca/mathstat/channels/event/marcelo-fiore-cantab-3006
 85
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