The tropical vertex 
Abstract:
Mirror symmetry was a phenomenon first discovered in string theory
around 1990, which predicted that two very distinct sorts of
calculations on two different "mirror" manifolds would give the
same answer. On one hand, one can compute GromovWitten invariants,
invariants which essentially count numbers of holomorphic maps
of the Riemann sphere into a symplectic manifold. On the other hand,
one can integrate certain differential forms over cycles on a different
manifold. A great deal of research has been devoted to understanding
why this works.

Web page: Alexandru I. Suciu  Comments to: alexsuciu@neu.edu  
Posted: September 2, 2008  URL: http://www.math.neu.edu/bhmn/gross08.html 