The Arnold conjecture was a celebrated conjecture in symplectic geometry which conjectures the number of fixed points of a Hamiltonian deformation of a symplectic manifold is lower bounded by the sum of the betti numbers of the manifold. The conjecture was solved at the end of last century. Around 2000, W. Chen-Ruan developed the Gromov-Witten theory on symplectic orbifold (groupoids). Motivated by Chen-Ruan’s works, it is natural to explore (symplectic) geometry/topology in orbifold categories. In this talk, we report on an ongoing project on the Arnold conjecture on symplectic orbifolds. This is a joint work with Chengyong Du, Kaoru Ono and Bai-Ling Wang.