Price inequality and Betti numbers of manifolds without conjugate points

Luca Di Cerbo
(ICTP)
Seminar
Friday, 26 May, 2017, at 13:00-14:00, in Aud. G2 (1532-122)
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.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen