Improved virtual algebraic fibrations of high dimensional hyperbolic Coxeter groups

Abstract: In a recent paper, Lafont, Minemyer, Sorcar, Stover, and Wells built hyperbolic right-angled Coxeter groups that virtually algebraically fibre in any virtual cohomological dimension. We provide a new construction that allows us to construct groups that virtually fibre with finitely presented kernel. Obtaining finite presentability is usually a big step forward, since it allows to use homological methods (due to Kielak and Fisher) to leverage even stronger finiteness properties. However, our technique is quite in dissonance with this, so these particular examples do not seem to be upgradable in general.

This is joint work with Matteo Migliorini and Andrew Ng.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

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The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.