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

Posted in

- Talk [1]

Speaker:

Grigori Avramidi
Affiliation:

MPIM
Date:

Tue, 2020-02-18 10:15 - 12:00 Locally symmetric spaces that are quotients of SL(n,R)/SO(n) by a lattice always have immersed, totally geodesic, flat tori of dimension (n-1). These tori are natural candidates for nontrivial homology cycles. We will explain how some of these (n-1)-dim tori give nontrivial rational homology cycles in congruence covers of SL(n,Z) \SL(n,R)/SO(n) and in Gamma\SL(n,R)/SO(n) for some cocompact lattices Gamma in SL(n,R).

**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