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Seminar by Luca Di Cerbo (ICTP)

Title: Price inequality and Betti numbers of manifolds without conjugate points

2017.05.15 | Jane Jamshidi

Date Fri 26 May
Time 13:00 14:00
Location 1532-122 (Aud-G2)


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.