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Category Archives: Math
Stacks in one sentence
A stack is just some rule which specifies a category of “wumbles over ” for every object in some given site, with the property that both morphisms of wumbles and wumbles themselves can be specified locally on coverings in the site. Bonus: Drop … Continue reading
Posted in Math, Nonsense
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Rumor of the day
Mochizuki’s papers on interuniversal Teichmuller theory have been accepted by a journal. I heard this from a typically trustworthy full professor here at Columbia, whose name unfortunately won’t fit in this margin. Of course, even if this is true, it … Continue reading
Superfectoid spaces!?
Note (6/21): There is an issue with the proof of Lemma 1.7 below, but I’m pretty confident Kiran and I will find a fix. In any case, you should never take blog math too seriously! In this post I want to announce some … Continue reading
Posted in Math, Uncategorized
Tagged Kedlaya, padic geometry, perfectoid things, sousperfectoid spaces
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Observations from Indiana
Just back from the padic Langlands party. Some random moments: Language options on the German American Banking ATM: English, Spanish. “We’ve encoded Kevin Buzzard’s brain into a twovariable power series!” Heated discussion: do you write or ? Clearly the latter … Continue reading
Posted in Math, Uncategorized
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A Fitting remark
In this post I want to talk about an innocent commutative algebra lemma. Let be a DVR with uniformizer , and let be a finite torsion module, so for some uniquely determined sequence . I’ll somewhat abusively refer to the … Continue reading
God’s greatest creation?
I’m in California for 11 days, for (mostly) math. Here’s something fun I just learned from Dick Gross. Let be a split simple algebraic group over , and let be (a lattice in) an irreducible algebraic representation of . It’s not … Continue reading
Period morphisms in padic Hodge theory
In classical Hodge theory, variations of Hodge structure give rise to varying periods, and then to period morphisms. In padic Hodge theory, there are plenty of periods but (until recently) not so many period morphisms. It turns out these exist … Continue reading
Posted in Math, Uncategorized
Tagged padic geometry, padic Hodge theory, perfectoid things
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