Speaker
Ivan Babenko
(Université de Montpellier)
Description
We define Dirichlet type series associated with homology length
spectra of Riemannian, or Finsler, manifolds, or polyhedra, and
investigate some of their analytical properties. As a consequence
we obtain an inequality analogous to Gromov's classical
intersystolic inequality, but taking the whole homology length
spectrum into account rather than just the systole.
