Events for 05/12/2017 from all calendars

Geometry Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Luca DiCerbo, ICTP

Title: Price inequality and Betti numbers growth on manifolds without conjugate points

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. Joint work with M. Stern.