The Maurer-Cartan algebra of a Lagrangian L is the algebra that encodes the deformation of the Floer complex CF(L,L;Λ) as an A∞-algebra. We identify the Maurer-Cartan algebra with the 0
Nearby in the stack
-th cohomology of the Koszul dual dga of
CF(L,L;Λ)
. Making use of the identification, we prove that there exists a natural isomorphism between the Maurer-Cartan algebra of
L
and a suitable subspace of the completion of the wrapped Floer cohomology of another Lagrangian
G
when
G
is dual to
L
in the sense to be defined. In view of mirror symmetry, this can be understood as specifying a local chart associated with
L
in the mirror rigid analytic space. We examine the idea by explicit calculation of the isomorphism for several interesting examples.