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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On the stable Cannon Conjecture

## On the stable Cannon ConjectureAdd to your list(s) Download to your calendar using vCal - Wolfgang Lueck (Universität Bonn)
- Tuesday 04 December 2018, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. HHHW04 - Manifolds The Cannon Conjecture for a torsionfree hyperbolic group $G$ with boundary homeomorphic to $S^2$ says that $G$ is the fundamental group of an aspherical closed $3$-manifold $M$. It is known that then $M$ is a hyperbolic $3$-manifold. We prove the stable version that for any closed manifold $N$ of dimension greater or equal to $2$ there exists a closed manifold $M$ together with a simple homotopy equivalence $M \to N \times BG$. If $N$ is aspherical and $\pi_1(N)$ satisfies the Farrell-Jones Conjecture, then $M$ is unique up to homeomorphism. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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