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@INCOGNITODEF Mysterious

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@INCOGNITODEF Mysterious

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What's on your mind? Bunnies

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What's on your mind? Bunnies

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Bunnies

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Bunnies

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@highergeometer Thanks for sharing this! I've been curious about this work of theirs for quite some time. Prof. Bhatt has mentioned it in several of his lectures on YouTube (which are not on this specific topic) but I don't think he goes into much detail, hopefully this one will.

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@highergeometer Thanks for sharing this! I've been curious about this work of theirs for quite some time. Prof. Bhatt has mentioned it in several of his lectures on YouTube (which are not on this specific topic) but I don't think he goes into much detail, hopefully this one will.

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@johncarlosbaez That I am not quite sure yet, I will have to read further. But I am guessing (and I might be wrong) that these Cartier divisors will have something to do with the ideals that show up in the definition of a prism.

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@johncarlosbaez That I am not quite sure yet, I will have to read further. But I am guessing (and I might be wrong) that these Cartier divisors will have something to do with the ideals that show up in the definition of a prism.

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As is my usual practice I guess, if anyone wants to discuss this more, or knows more about it and wants to tell me more about this stuff, I would be happy to hear about it!

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As is my usual practice I guess, if anyone wants to discuss this more, or knows more about it and wants to tell me more about this stuff, I would be happy to hear about it!

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Here is the version of Prof. Drinfeld:

https://arxiv.org/abs/2005.04746

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Here is the version of Prof. Drinfeld:

https://arxiv.org/abs/2005.04746

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If I understand correctly, the "stacky approach" means the prismatic cohomology can be obtained as a complex on a "Cartier-Witt stack", which sends a ring R to the groupoid of generalized Cartier divisors on W(R) satisfying some conditions. As I understand more about this maybe I'll write about it on here (with the usual caveat of being a learner and thus probably getting some things wrong).

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If I understand correctly, the "stacky approach" means the prismatic cohomology can be obtained as a complex on a "Cartier-Witt stack", which sends a ring R to the groupoid of generalized Cartier divisors on W(R) satisfying some conditions. As I understand more about this maybe I'll write about it on here (with the usual caveat of being a learner and thus probably getting some things wrong).

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One paper I'm finding interesting and I've been meaning to read more is Profs. Bhargav Bhatt and Jacob Lurie's "Absolute Prismatic Cohomology", which outlines a "stacky" approach to prismatic cohomology:

https://arxiv.org/abs/2201.06120

They also have a short sequel paper to this and there is also a paper on a similar approach by Prof. Vladimir Drinfeld.

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One paper I'm finding interesting and I've been meaning to read more is Profs. Bhargav Bhatt and Jacob Lurie's "Absolute Prismatic Cohomology", which outlines a "stacky" approach to prismatic cohomology:

https://arxiv.org/abs/2201.06120

They also have a short sequel paper to this and there is also a paper on a similar approach by Prof. Vladimir Drinfeld.

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@antoinechambertloir Sending you my best!

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@antoinechambertloir Sending you my best!

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@cookiealv Elliptic curves and modular forms!

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@cookiealv Elliptic curves and modular forms!

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@sc_griffith This is amazing

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@sc_griffith This is amazing

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This "Cartier-Witt stack" stuff seems interesting, I wonder if anyone here has looked into it?

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This "Cartier-Witt stack" stuff seems interesting, I wonder if anyone here has looked into it?

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The painting "Feeding the Rabbits" by Frederick Morgan, edited to have labels "Me" on the girl, "Good toots" on the leaves, and "The fediverse" on the rabbits

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I've recently been reading this great survey "From Sum of Two Squares to Arithmetic Siegel Weil Formulas" by Prof. Chao Li:

https://www. math.columbia.edu/~chaoli/ASWS urvey.pdf

#math

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I've recently been reading this great survey "From Sum of Two Squares to Arithmetic Siegel Weil Formulas" by Prof. Chao Li:

https://www. math.columbia.edu/~chaoli/ASWS urvey.pdf

#math