Seminar by Jikang Wang: Gromov's almost flat theorem and local Ricci bounded covering geometry
Time: July 8, Monday, 16:00-17:00
Venue: Lecture Hall
Speaker: Jikang Wang (University of California, Berkeley)
Abstract: Gromov proved that if a compact n-manifold is almost flat, |sec|*diam^2 less than a given small constant number, then it has a finite cover diffeomorphic to a nilmanifold. HKRX and Rong generalized the Gromov's theorem to a compact maniflod with Ricci lower bound, small diameter and non-collapsing universal cover. We shall give a new proof for the Ricci one using the structure of approximate groups.
