Date:
Tue, 2013-05-21 15:10 - 16:00
Gopal Prasad and A. S. Rapinchuk defined a notion of weakly
commensurable lattices in a semisimple group, and gave a
classification of weakly commensurable Zariski dense subgroups. A
motivation was to classify pairs of locally symmetric spaces
isospectral with respect to the Laplacian on functions. For this, in
higher ranks, they assume the validity of Schanuel's conjecture.
In this talk, we observe that if we use the stronger notion of
representation equivalence of lattices, then Schanuel's conjecture can