Scientific Program 1 First week Plenary lectures K. Hori, Mirror symmetry I. Madsen, Homotopy theory and the mapping class group: Mumford’s conjecture A. Okounkov, Geometry and physics of localization sums R. Pandharipande, Gromov-Witten theory in low dimensions P. Seidel, Geometry and algebra of Lefschetz fibrations Seminar lectures D. Arcara, Moduli spaces in the derived category of K3 surfaces J. Amoros, Mapping tori and homotopy properties of closed symplectic four-manifolds D. Auroux, Homological mirror symmetry for blowups of CP2 K. Behrend, Donaldson-Thomas invariants via microlocal geometry A. Bertram, Relative stable maps and admissible covers J. Bryan, The local Gromov-Witten theory of curves A. Caldararu, Duflo, Riemann-Roch, and Cardy — Lie theory, algebraic geometry, and physics: unified F. Campana, Multiple fibres, orbifolds, and classification theory L. Caporaso, N´ eron models over moduli of stable curves L. Chen, The equivariant cohomology of quot schemes I. Ciocan-Fontanine, A generalization of the Hori-Vafa conjecture T. Coates, The Gromov-Witten theory of a point and KdV H. D’Souza, Automorphism and collineation groups of good curves R. Donagi, Geometric transitions, Calabi-Yau integrable systems, and open GW invariants C. Faber, On motives for cusp forms B. Fantechi, The virtual fundamental class revisited G. Farkas, Effective divisors on the moduli space of curves A. Gathmann, Relative Gromov-Witten invariants and tropical geometry A. Gibney, A higher dimensional analog of the moduli space of stable pointed rational curves T. Graber, Gromov-Witten theory of orbifolds and their crepant resolutions 1A complete record of the scientific program, including abstracts and notes, can be found at http://www.math.columbia.edu/~thaddeus/seattle/program.html ix

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