bio | website | maths.ox.ac.uk/people/… |
---|---|---|
location | Oxford, United Kingdom | |
age | ||
visits | member for | 5 years, 8 months |
seen | Feb 12 at 13:05 | |
stats | profile views | 13,618 |
Merge delete
Jun 20 |
awarded | Popular Question |
Jun 1 |
awarded | Good Answer |
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 3 |
awarded | Favorite Question |
Feb 2 |
awarded | Popular Question |
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 |