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- 160-1 | Annals of Mathematics
Grothendieck’s problems concerning profinite completions and representations of groups Pages 359-373 by Martin R Bridson, Fritz Grunewald
- Grothendieck’s problems concerning profinite completions and . . .
In 1970 Alexander Grothendieck [6] posed the following problem: let $\Gamma_1$ and $\Gamma_2$ be finitely presented, residually finite groups, and let $u:\Gamma_1\to\Gamma_2$ be a homomorphism such that the induced map of profinite completions $\hat u :\hat\Gamma_1\to\hat\Gamma_2$ is an isomorphism; does it follow that $u$ is an isomorphism?
- Vol. 160 | Annals of Mathematics
Grothendieck’s problems concerning profinite completions and representations of groups Pages 359-373 by Martin R Bridson, Fritz Grunewald|From volume 160-1
- 159-1 | Annals of Mathematics
Volume 159 Issue 1 – January 2004 Pages 277-303 by Alexander Yu Solynin, Victor A Zalgaller
- The subconvexity problem for Rankin-Selberg $L$-functions and . . .
We use this subconvexity bound to prove an equidistribution property for incomplete orbits of Heegner points over definite Shimura curves
- 160-2 | Annals of Mathematics
Volume 160 Issue 2 – September 2004 Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12,… Classification of local conformal nets Case $c < 1$
- 159-2 | Annals of Mathematics
Volume 159 Issue 2 – March 2004
- Classification of prime 3-manifolds with $\sigma$-invariant greater . . .
More generally, we show that any $3$-manifold with $\sigma$-invariant greater than $\mathbb {RP}^3$ is either $S^3$, a connect sum with an $S^2$ bundle over $S^1$, or has more than one nonorientable prime component A corollary is the Poincaré conjecture for $3$-manifolds with $\sigma$-invariant greater than $\mathbb {RP}^3$
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