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SUMMARY:Algebraically coherent categories: definition\, examples and basic
  properties - Tim Van der Linden (Université catholique de Louvain)
DTSTART:20150217T141500Z
DTEND:20150217T151500Z
UID:TALK57934@talks.cam.ac.uk
CONTACT:Dr Ignacio Lopez Franco
DESCRIPTION:(Joint work with Alan S. Cigoli and James R. A. Gray)\nIn a re
 cent article\, we call a regular category \\emph{algebraically coherent} w
 hen the change-of-base functors in its fibration of points are \\emph{cohe
 rent}\, which means that they preserve finite limits and jointly strongly 
 epimorphic pairs of arrows. The present talk is an introduction to the con
 cept of algebraic coherence\, focusing on examples and basic properties. I
 n particular\, we will discuss equivalent conditions in the context of sem
 i-abelian categories\, as well as some consequences: amongst others\, stro
 ng protomodularity\, and normality of Higgins commutators of normal subobj
 ects.
LOCATION:MR3\, Centre for Mathematical Sciences
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