Seminario di Geometria
Posted by fidest press agency su mercoledì, 19 aprile 2017
Roma Giovedì 20 Aprile 2017, ore 14:30 Dipartimento di Matematica e Fisica, Aula 211 Largo San Leonardo Murialdo 1. Price Inequality and Betti Numbers Growth on Manifolds without Conjugate Points Luca Di Cerbo (ICTP, Trieste) 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 strengthen result. Equipped with these Price type inequalities, I then study the asymptotic behavior of Betti numbers along infinite towers of regular coverings. Finally, I will discuss the case of compact real and complex hyperbolic manifolds in more details. Joint work with M. Stern (Duke University).