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Answer by Devrim Türker for Naïve definition of parahoric subgroup

A poster on parahoric subgrouphttp://www-personal.umich.edu/~fintzen/Jessica_Fintzen_poster_stable_vectors.pdfVideo explanation:https://youtu.be/UO_RZzaBTmc

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Answer by krl for Naïve definition of parahoric subgroup

For another perspective on parahoric subgroups, I find the appendix by Haines-Rapoport (here) quite useful. They show that the parahoric subgroup attached to a facet $\mathcal{F}$ is simply the...

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Answer by LSpice for Naïve definition of parahoric subgroup

I'm not sure what it means to define parahoric subgroups "purely in terms of $B(G, F)$"; I would say that every definition boils down to taking integral points of integral models in one way or another....

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Naïve definition of parahoric subgroup

BackgroundLet $F$ be a $p$-adic local field, and let $G$ be a connected reductive group over $F$. Recall that there is a rich theory of compact open subgroups of $G(F)$ which is, essentially,...

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