Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Pascal Zschumme
Affiliation:

KIT, Karlsruhe
Date:

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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/9809

[4] http://www.mpim-bonn.mpg.de/node/10046/program?page=last

[5] http://www.mpim-bonn.mpg.de/node/10046/abstracts