Analytic torsion of locally symmetric spaces and growth of torsion in the cohomology of arithmetic groups

Mercredi 13 juin 14:00-17:00 - Werner Müller - Bonn

Résumé : Analytic torsion is a spectral invariant of a compact
Riemannian manifold defined in terms of regularized determinants of Laplace
operators on forms twisted by a flat bundle. Recently, the analytic
torsion has found interesting applications in the study of the growth of
torsion
in the cohomology of cocompact arithmetic groups, i.e., of compact
locally symmetric spaces defined by arithmetic groups. Since many
arithmetic groups are not cocompact, it is interesting to extend these
results to the non-cocompact case. In this talk I will report on recent
progress concerning this problem and discuss some open questions.

Lieu : Salle 3L8

Analytic torsion of locally symmetric spaces and growth of torsion in the cohomology of arithmetic groups  Version PDF
août 2018 :

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juillet 2018 | septembre 2018