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location Oxford, United Kingdom
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visits member for 5 years, 6 months
seen Feb 12 at 13:05

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Apr
1
awarded  Great Question
Feb
13
awarded  Popular Question
Feb
12
revised What is an étale theta function?
Corrected misprints from Q_p-bar to Q_p.
Feb
11
awarded  Good Question
Feb
6
comment What is an étale theta function?
Dear Anon: I fear a blog might not stand as good a chance of attracting good answers....
Feb
6
comment What is an étale theta function?
Dear Stefan Kohl: I certainly agree that it's not concise! I wouldn't be nearly competent enough to write a textbook. As to the dangers of philosophising, I once compared it to taking out a loan: mathoverflow.net/questions/38639/thinking-and-explaining/…
Feb
6
awarded  Nice Question
Feb
6
comment What is an étale theta function?
Dear Olivier, I completely understand your reservation and will be perfectly fine if the community decides against this line of questioning. (In fact, it will relieve me of the obligation to continue.) On the other hand, I believe the questions in the titles are well-defined. Giving provisional answers together with the questions and asking for better ones seems not to be unusual practice here.
Feb
6
asked What is an étale theta function?
Feb
5
awarded  Notable Question
Feb
4
revised What is a Frobenioid?
Added a few clarifying lines and changed confusing notation.
Feb
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Feb
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Feb
1
awarded  Good Question
Jan
31
comment What is a Frobenioid?
Neil: I'm sure you're asking something deeper, but the short answer to your question is simple. The reconstruction theorems allow us to view certain categories as good combinatorial models of arithmetic geometric objects. For example, the theorem outlined above tells you that a number field can be modelled as a suitable Frobenioid. This is obviously somewhat more elaborate than the theorem that uses only Galois categories, but allows the construction of a Frobenius map (and lift). Anyway, this encoding as a category is the starting point for building categorical deformations of number fields.
Jan
31
comment What is a Frobenioid?
user74230: Many thanks. Typo fixed.
Jan
31
revised What is a Frobenioid?
deleted 16 characters in body
Jan
31
awarded  Nice Question
Jan
31
asked What is a Frobenioid?
Oct
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awarded  Yearling