Speaker: Jim Davis
Indiana University - Bloomington
Will give a Topology Seminar entitled:
The Borel Conjecture for compact aspherical 4-manifolds with elementary amenable fundamental group
Abstract: The Borel Conjecture for closed manifolds implies that two closed aspherical manifolds with isomorphic fundamental group are homeomorphic. The Borel Conjecture for compact aspherical manifolds with boundary states that a homotopy equivalence which is homeomorphism on the boundary is homotopic rel boundary to a homeomorphism. Jonathan Hillman and I prove the Borel Conjecture for all compact aspherical four manifolds with boundary with good (= elementary amenable) fundamental group. We classify all possible fundamental groups and all possible 3-manifold boundaries.
Date: 04-29-2025
Time: 2:15 pm
Location: 258 Hurley Bldg