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Lukas Heger's user avatar
Lukas Heger's user avatar
Lukas Heger
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 Yearling
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 Nice Question
accepted
Shouldn't we expect analytic (in the Berkovich sense) étale cohomology of a number field to be the cohomology of the Artin–Verdier site?
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Shouldn't we expect analytic (in the Berkovich sense) étale cohomology of a number field to be the cohomology of the Artin–Verdier site?
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Is every UFD a filtered colimit of Noetherian UFDs?
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Is every UFD a filtered colimit of Noetherian UFDs?
awarded
 Nice Question
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Is there any relation between Berkovich spaces over $\Bbb Z$ and Arakelov theory?
@JacksonMorrow thanks for the reference!
awarded
 Yearling
asked
Is there any relation between Berkovich spaces over $\Bbb Z$ and Arakelov theory?
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What can be said about the derived functor of a composition between unbounded derived categories?
@ElíasGuisadoVillalgordo the stacks project link you gave me only talks about the bounded derived categories.
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
@MartinBrandenburg I'll trust your first guess on this. My main motivation was doing some form of homological algebra with it. Protomodularity etc. was just something that came to my mind, I don't have enough experience with similar categories to make an educated guess.
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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revised
What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
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What properties do the categories $\mathbf{GrpMod}$ and $\mathbf{GrpMod}^*$ of compatible pairs have? Can we do homological algebra with them?
@Z.M thank you for your comment. I think it's not quite the right category for group homology (coinvariants is not defined on it), but there's a slight variation that is the correct setting for group homology. Could one maybe define group cohomology as some "animated Ext" (if that makes sense)?
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