Event
Werner Müller, Université de Bonn
Wednesday, October 25, 2017 16:00to17:00
Room PK-5115 , Pavillon President-Kennedy, CA
Analytic torsion of locally symmetric spaces and the growth of torsion in the cohomology of arithmetic groups.
Analytic torsion is a spectral invariant of a Riemannian manifold defined in terms of regularized determinants of Laplace operators on forms twisted by a flat bundle. For locally symmetric spaces, it can be used to study the growth of the torsion subgroup of the cohomology of arithmetic groups for towers of congruence subgroups or special sequences of local systems of growing rank. I will review some of the recent results and discuss some open problems.