  We study the role of electron correlations in the presumed type II Weyl
semimetallic candidate $\gamma$-MoTe$_2$ by employing density functional theory
(DFT) where the on-site Coulomb repulsion (Hubbard U) for the Mo 4$d$ states is
included within the DFT+U scheme. We show that pure DFT calculations fail to
describe important features of the light-polarization dependence of the angular
resolved photoemission intensity which can be accounted for by including the
role of the Hubbard U. At the same time, while pure DFT calculations cannot
explain the angular dependence of the Fermi surface as revealed by quantum
oscillation experiments (a fact which had raised doubt about the presence of
the Weyl physics in $\gamma$-MoTe$_2$), inclusion of such on-site Coulomb
repulsion can. We find that, while the number of Weyl points (WPs) and their
position in the Brillouin Zone change as a function of U, a pair of such WPs
very close to the Fermi level survive the inclusion of these important
corrections. Our calculations suggest that the Fermi surface of
$\gamma$-MoTe$_2$ is in the vicinity of a correlations-induced Lifshitz
transition which can be probed experimentally and its interplay with the Weyl
physics might be intriguing.
