In the talk, I will consider states with large angular momentum to
facilitate the study of the M-theory regime of the AdS4/CFT3 correspondence
(duality between M-theory on $AdS_4 \times S^7/Z_k$ and ABJM theory
with gauge group $U(N)\times U(N)$ and level $k$,
where $k$ is finite and $N$ is large).
In particular I will discuss near-BPS operators in ABJM theory
which correspond to states of membranes with large angular momenta on AdS.
The talk will be based on my work with S. Kovacs(DIAS) and Y. Sato
(KEK).