Connections in Modern Mathematics and Physics

A special Geometry Festival
in honor of
James Simons
on the occasion of his
60th birthday

April 2-5, 1998
Stony Brook, New York

  1. Blaine Lawson(Stony Brook University)
    The mathematical work of James Simons and its impact on the field (part I)

  2. Jeff Cheeger(Courant Institute of Mathematical Sciences, NYU)
    The mathematical work of James Simons and its impact on the field (part II)

  3. C. N. Yang(Yang Institute for Theoretical Physics, Stony Brook University)
    Vector Potentials and Connections
    (Note: No audio for first 3 minutes)

  4. Jeff Cheeger(Courant Institute of Mathematical Sciences, NYU)
    The Small Scale Structure of Spaces with Ricci Curvature Bounded Below

  5. Blaine Lawson(Stony Brook University)
    Connections and Singularities of Maps

  6. Gang Tian(MIT)
    Gauge Theory and Calibrated Geometry

  7. Robert Bryant(Duke University)
    Recent results and open problems in Finsler geometry

  8. Dennis Sullivan(Stony Brook University and CUNY)
    A combinatorial model for non-linearity
    (Note: No audio for first 8.5 minutes)

  9. Shing-Tung Yau(Harvard University)
    Mirror Symmetry and Rational Curves

  10. Scott Axelrod(MIT)
    Generalized Chern-simons invariants as a generalized Lagrangian field theory

  11. Mikhael Gromov(Courant and I.H.E.S.)
    Dynamics on function spaces

  12. Jean-Michel Bismut(Université Paris-Sud XI - Orsay)
    Chern-Simons classes, Bott-Chern classes and analytic torsion

  13. Spencer Bloch(University of Chicago)
    Algebro-geometric Chern-Simons classes

  14. Maxim Kontsevich(I.H.E.S.)
    On regulators, critical values and q-factorials

  15. Robert Bryant(Duke University)
    Recent progress on the holonomy classification problem

  16. Jürg Fröhlich(E.T.H - Zurich)
    Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)

  17. Clifford Taubes(Harvard University)
    Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves

  18. John Milnor(Stony Brook University)
    Remarks on geometry and dynamics

  19. Robert MacPherson(I.A.S.)
    Spaces with torus actions