Workshop

Schedule of the Lectures For more information on the worskshop, go to http://www.math.wisc.edu/~shi/topological_structures/Gromov_Witten.htm Mirror duality has demonstrated the striking effectiveness of concepts of modern physics in enumerative geometry. Meanwhile the studies of topological gauge and string theories have revealed another type of dualit, relating nonperturpbative large N results in gauge theory to the full genus expansion of topological string theory with non-trivial target spaces. More recently, many authors have generalized these dualities to calculate open and closed Gromov-Witten invariants on general non-compact toric varieties and have found an important structure in these calcualtions: the so-called topological vertex. Further progress in this area requires a deeper understanding of the integrable structure which underlies these relations. This workshop will bring together the central researchers in all of these areas and concentrate its efforts in deepening the connections among the various directions. A detailed description of the aims of this workshop is available in pdf format.