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

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Speaker:

Pascal Zschumme
Affiliation:

KIT, Karlsruhe
Date:

Tue, 10/12/2019 - 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.

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