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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
20
votes
Accepted
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 …
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 …