  The shape transitions and shape coexistence in the Ge and Se isotopes are
studied within the interacting boson model (IBM) with the microscopic input
from the self-consistent mean-field calculation based on the Gogny-D1M energy
density functional. The mean-field energy surface as a function of the
quadrupole shape variables $\beta$ and $\gamma$, obtained from the constrained
Hartree-Fock-Bogoliubov method, is mapped onto the expectation value of the IBM
Hamiltonian with configuration mixing in the boson condensate state. The
resultant Hamiltonian is used to compute excitation energies and
electromagnetic properties of the selected nuclei $^{66-94}$Ge and
$^{68-96}$Se. Our calculation suggests that many nuclei exhibit $\gamma$
softness. Coexistence between prolate and oblate, as well as between spherical
and $\gamma$-soft, shapes is also observed. The method provides a reasonable
description of the observed systematics of the excitation energy of the
low-lying energy levels and transition strengths for nuclei below the neutron
shell closure $N=50$, and provides predictions on the spectroscopy of
neutron-rich Ge and Se isotopes with $52\leq N\leq 62$, where data are scarce
or not available.
