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arithmetica on Superfectoid spaces!? arithmetica on Superfectoid spaces!? mayorliatmath on Superfectoid spaces!? lucqin on Superfectoid spaces!? Jesse on Fun with crystalline peri… Tags
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Author Archives: arithmetica
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
Hilarity
AJdJ (rhetorically): What is the stacks project? Me: A series of tubes?
Posted in Nonsense, Uncategorized
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Course announcement
In the Fall of 2016, I’m teaching a graduate topics class on padic Hodge theory here at Columbia. The course website can be found here. Update (5/6/2o16): An earlier version of the course description contained a rather optimistic statement regarding Harris’s … Continue reading
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