


How to centralize and normalize quandle extensions



Description: 
During this talk, we will study different classes of quandle homomorphisms defined with respect to a fundamental reflection of the category of quandles into its full subcategory of trivial quandles. I will recall the notion of a central extension and of a normal extension coming from categorical Galois theory. After having given their characterizations in the context of the previous adjunction, I will explain how one can centralize (or normalize) any extension of quandles, that is how one can find a left adjoint to the inclusion of the category of central (or of normal) extensions into the category of extensions. This is joint work with V. Even and A. Montoli.

Date: 
20161213

Start Time: 
14:30 
Speaker: 
Mathieu DuckertsAntoine (CMUC)

Institution: 
CMUC, Univ. Coimbra

Place: 
Room 5.5

Research Groups: 
Algebra, Logic and Topology

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