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l-adic etale -> 𝓁-adic étale, while this is on the front page
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LSpice
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Weil cohomologies seem to be "natural" and useful cohomology theories. Wikipedia lists Betti, De Rham, l𝓁-adic etaleétale, and crystalline cohomologies as examples of Weil cohomology. Do we have more of them? and is it plausible to classify all or some Weil cohomologies? Or more generally, classify these really good Grothendieck sites?

Weil cohomologies seem to be "natural" and useful cohomology theories. Wikipedia lists Betti, De Rham, l-adic etale, and crystalline cohomologies as examples of Weil cohomology. Do we have more of them? and is it plausible to classify all or some Weil cohomologies? Or more generally, classify these really good Grothendieck sites?

Weil cohomologies seem to be "natural" and useful cohomology theories. Wikipedia lists Betti, De Rham, 𝓁-adic étale, and crystalline cohomologies as examples of Weil cohomology. Do we have more of them? and is it plausible to classify all or some Weil cohomologies? Or more generally, classify these really good Grothendieck sites?

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natura
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Is it possible to classify all Weil cohomologies?

Weil cohomologies seem to be "natural" and useful cohomology theories. Wikipedia lists Betti, De Rham, l-adic etale, and crystalline cohomologies as examples of Weil cohomology. Do we have more of them? and is it plausible to classify all or some Weil cohomologies? Or more generally, classify these really good Grothendieck sites?