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SUMMARY:Souheila Hassoun (Northeastern University)
DTSTART:20220127T195000Z
DTEND:20220127T205000Z
DTSTAMP:20260423T041503Z
UID:GPRTatNU/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/41/
 ">The admissible sub-objects</a>\nby Souheila Hassoun (Northeastern Univer
 sity) as part of Geometry\, Physics\, and Representation Theory Seminar\n\
 n\nAbstract\nThe study of admissible sub-objects of a certain object in an
  additive category relatively to a Quillen exact structure is an exciting 
 subject that leads to some unaccepted characterizations. We propose new ge
 neral notions of intersections and some of sub-objects to study the Jordan
 -Holder property of an exact category. We then generalize the length funct
 ion and the Gabriel-Roiter measure to the realm of exact categories. \nWe 
 also initiate the study of weakly exact structures\, a generalization of b
 oth Quillen exact structures and the important and widely used notion of A
 belian categories. We investigate when these structures form lattices.\nTh
 is talk is based on several joint works: arxiv numbers 2009.10024\, 2006.0
 3505\, and 1809.01282.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/41/
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