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Sep 25, 2018 at 4:30 comment added Daniel Litt This is a very large topic, and I don't know a single source that contains even a significant number of these. Esnault has some nice papers discussing the relationship between the stratified and etale fundamental group; Deligne's P^1\{0,1,\infty} paper discusses the relationship between various pro-unipotent incarnations of these groups. If you have a more specific question in mind, I can try to say a bit more.
Sep 25, 2018 at 0:16 comment added Galois groupie @Niels, I've added Deligne. I hope the survey would include all the different flavors of fundamental groups/groupoids/group-schemes and their inter-connections, as well as motivations for introducing them and their distinct uses.
Sep 25, 2018 at 0:10 history edited Galois groupie CC BY-SA 4.0
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Sep 24, 2018 at 7:33 comment added Niels In any case, it looks a bit odd to me not to add Deligne to your list.
Sep 24, 2018 at 7:29 comment added Niels "fundamental group" is a bit vague IMHO : are you interested in étale fundamental groups, in fundamental group schemes, in motivic fundamental groups, or in whatever ?
Sep 23, 2018 at 20:01 history asked Galois groupie CC BY-SA 4.0