The Maurer-Cartan algebra of a Lagrangian L is the algebra that encodes the
deformation of the Floer complex CF(L,L;Ξ) as an Aββ-algebra. We
identify the Maurer-Cartan algebra with the 0-th cohomology of the Koszul
dual dga of CF(L,L;Ξ). Making use of the identification, we prove that
there exists a natural isomorphism between the Maurer-Cartan algebra of L and
a certain analytic completion of the wrapped Floer cohomology of another
Lagrangian G when G is \emph{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.Comment: 51 pages, 12 figures. Comments are welcom