Macroscopic Dimension and Gromov's Conjecture
Alexander Dranishnikov, University of Florida
Location: Stevenson 1310
In the 80’s, Gromov proposed a conjecture that the macroscopic dimension of the universal covering of a closed n-manifold with a positive scalar curvature metric does not exceed n-2. We prove his conjecture for manifolds with certain restrictions on the fundamental group. In particular, we prove Gromov's conjecture for exact virtual duality groups.