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Homology growth, hyperbolization, and fibering

Geometric Group Theory Seminar
April 13, 2023
1:50PM - 2:50PM
Caldwell Lab 0115

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Add to Calendar 2023-04-13 13:50:00 2023-04-13 14:50:00 Homology growth, hyperbolization, and fibering Title:  Homology growth, hyperbolization, and fibering Speaker:  Kevin Schreve (Louisiana State University) Abstract:  I will talk about joint work with Grigori Avramidi and Boris Okun where we construct closed, aspherical 7-manifolds with word hyperbolic, special fundamental group that do not virtually fiber over the circle. The obstruction to fibering is linear F_p-homology growth in residual.towers of regular finite covers for an odd prime p.  In previous work, we constructed locally CAT(0) examples, and I will describe what needs to be done to “hyperbolize” the construction. Caldwell Lab 0115 Department of Mathematics math@osu.edu America/New_York public

Title:  Homology growth, hyperbolization, and fibering

Speaker:  Kevin Schreve (Louisiana State University)

Abstract:  I will talk about joint work with Grigori Avramidi and Boris Okun where we construct closed, aspherical 7-manifolds with word hyperbolic, special fundamental group that do not virtually fiber over the circle. The obstruction to fibering is linear F_p-homology growth in residual.towers of regular finite covers for an odd prime p.  In previous work, we constructed locally CAT(0) examples, and I will describe what needs to be done to “hyperbolize” the construction.

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