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Groups And Dynamics
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Bin Sun, RLM 8.136: Cohomology of group theoretic Dehn fillings
Tuesday, March 26, 2019, 10:00am - 11:00am
The notion of a group theoretic Dehn filling generalizes thatof a geometric Dehn filling of 3-manifolds. By refining the Lyndon-Hochschild-Serrespectral sequence, we obtain a spectral sequence to compute thecohomology of the quotient arising from a Dehn filling of a hyperbolicallyembedded subgroup. As an application, we estimate the cohomologydimension of the corresponding Dehn filling quotients. Moreover,we construct, for any two given finitely generated acylindricallyhyperbolic groups, an acylindrically hyperbolic common quotientwith a nice bound on its cohomological dimension.
Location: RLM 8.136

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