# Geometric construction of homology classes in Riemannian manifolds covered by products of hyperbolic planes

Posted in

Speaker:

Pascal Zschumme
Affiliation:

KIT, Karlsruhe
Date:

Tue, 2019-12-10 10:15 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Seminar "Arithmetic of Algebraic Groups" We study the homology of Riemannian manifolds of finite volume that are covered by a product of r copies of the hyperbolic plane. Using a variation of a method developed by Avramidi and Nyguen-Phan, we show that any such manifold M possesses, up to finite coverings, an arbitrarily large number of compact oriented flat totally geodesic r-dimensional submanifolds whose fundamental classes are linearly independent in the r-th homology group of M.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |