course: Growth in negative curvature

speaker: Andrea Sambusetti (Università di Roma La Sapienza)

abstract: We shall show that any closed negatively curved manifold is growth tight: this means that its universal covering has an exponential growth rate which is strictly greater than the exponential growth rate of any other normal covering. We shall give a formula estimating the gap in terms of elementary geometric parameters. Then, we shall describe some applications to periodic geodesics and to spectral geometry. The results were announced in Growth tightness of negatively curved manifolds, C. R. Math. Acad. Sci. Paris 336 (2003), 487-491

timetable:
Thu 21 Oct, 17:00 - 18:15, Sala Conferenze Centro De Giorgi
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