Title: Price inequality and Betti numbers of manifolds without conjugate points
2017.05.15 |
Date | Fri 26 May |
Time | 13:00 — 14:00 |
Location | 1532-122 (Aud-G2) |
Abstract:
In this talk, I will present a Price type inequality for harmonic forms on manifolds without conjugate points and negative Ricci curvature. The techniques employed in the proof work particularly well for manifolds of non-positive sectional curvature, and in this case one can prove a strengthened result. Equipped with these Price type inequalities, I then study the asymptotic behavior of Betti numbers along infinite towers of regular coverings. If time permits, I will discuss the case of hyperbolic manifolds in some detail. This is joint work with M. Stern.