The admissible sub-objects

Souheila Hassoun (Northeastern University)

27-Jan-2022, 19:50-20:50 (2 years ago)

Abstract: The 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 general notions of intersections and some of sub-objects to study the Jordan-Holder property of an exact category. We then generalize the length function and the Gabriel-Roiter measure to the realm of exact categories. We also initiate the study of weakly exact structures, a generalization of both Quillen exact structures and the important and widely used notion of Abelian categories. We investigate when these structures form lattices. This talk is based on several joint works: arxiv numbers 2009.10024, 2006.03505, and 1809.01282.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( paper )


Geometry, Physics, and Representation Theory Seminar

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