ICTP-SISSA - Geometric Analysis Seminar - Thursday 23 March 2017, at 14:30, ICTP Luigi Stasi Seminar Room

[Math Group]

ICTP-SISSA - GEOMETRIC ANALYSIS SEMINARS - 2017


Thursday, 23 March, at 14:30 hrs.


Luca Di Cerbo (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 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.


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy

Tel. no.: +39-040-2240455
math at ictp.it
http://math.ictp.it