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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

13 votes

The dual group of $\mathbb Q$

Every continuous group homomorphism $\mathbb Q \rightarrow S^1$ extends to the completion of $\mathbb Q$ (cf., Bourbaki: General topology, Prop. III:4.8) which is $\mathbb R$ so the dual group of $\ma …
Torsten Ekedahl's user avatar
20 votes
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What is the wild fundamental group?

Consider the category of algebraic integrable connections on a smooth connected algebraic variety $X$ with a base point $x$ (over a field of characteristic zero). This is a Tannakian category with a f …
Torsten Ekedahl's user avatar