100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Rufus Lawrence

Groups, group objects and fundamental groups.
星期三, 25 五月, 2022 - 17:00
Résumé : 

It is an elementary result in algebraic topology that the fundamental group of a topological group is abelian. I will first provide an explicit (yet annoying) proof of this fact, and then show how this result can be reinterpreted categorically, in terms of cartesian functors and group objects. Once we have reinterpreted the problem in this way, the proof becomes trivial!

Institution de l'orateur : 
Institut Fourier
Thème de recherche : 
Salle : 
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