skip to main content

Geometry and Topology Seminar

Friday, December 2, 2022
3:00pm to 4:00pm
Add to Cal
Linde Hall 187
Homology growth, fibering, and aspherical manifolds
Kevin Schreve, Department of Mathematics, Louisiana State University,

It is now known that every closed, hyperbolic 3-manifold has a finite cover which fibers over the circle. There has been recent interest in generalizing this result in various directions. In a geometric direction, one can ask whether higher odd dimensional hyperbolic manifolds virtually fiber. In an algebraic direction one can ask which groups have algebraic analogues of a virtual fibering. In all of this, there is a curious dearth of odd-dimensional examples which do not virtually fiber. We partially correct this by constructing closed, aspherical, odd-dimensional manifolds with word hyperbolic fundamental group that do not virtually fiber over the circle. This is joint work with Grigori Avramidi and Boris Okun.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit