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SUMMARY:Antonio Viruel (Universidad de Málaga)
DTSTART:20220221T103000Z
DTEND:20220221T113000Z
DTSTAMP:20260422T135654Z
UID:BilTop/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/37/">
 Path Partial Groups</a>\nby Antonio Viruel (Universidad de Málaga) as par
 t of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nIn t
 his lecture we shall show how path concatenation in a simple graph G gives
  rise to a partial group P(G) that we call the path partial group associat
 ed to the graph G. The construction of path partial groups is indeed funct
 orial and allows us to embed the category of simple graphs into the catego
 ry of partial groups. This embedding is full on automorphism so it shows t
 hat any group can be realised as the full group of automorphisms of a part
 ial group\, while not every group is the full group of automorphisms of an
  honest group. Finally\, thinking of partial grops as simplicial complexes
 \, we show that every group is the group of self homotopy equivalences of 
 a simplicial complex. This is a joint work with Antonio Díaz-Ramos (U. Ma
 laga) and Rémi Molinier (U. Grenoble).\n
LOCATION:https://researchseminars.org/talk/BilTop/37/
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