A Seifert–van Kampen theorem in non-abelian algebra

Duckerts-Antoine, Mathieu;Van der Linden, Tim
(2016) Peripatetic Seminar on Sheaves and Logic 100 — Location: Cambridge, United Kingdom (21.May.2016)

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Abstract
We discuss a Seifert–van Kampen theorem, valid in a non-additive algebraic setting: we give sufficient conditions on a functor F: C -> X, from an algebraically coherent semi-abelian category with enough projectives C to an almost abelian category X, for its first derived functor L_1(F) to preserve pushouts of split monomorphisms. This is joint work-in-progress with Mathieu Duckerts-Antoine.
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Duckerts-Antoine, M., & Van der Linden, T. (2016). A Seifert–van Kampen theorem in non-abelian algebra. Peripatetic Seminar on Sheaves and Logic 100, Cambridge, United Kingdom. https://hdl.handle.net/2078.5/62517