8:45-9:00: J. Morgan (Columbia Mathematics Chair), ``Opening remarks"

9:00-9:50: L. Nirenberg (Courant Institute), ``Distance function to the boundary and Hamilton-Jacobi equation"

10:00-10:50: J.J. Kohn (Princeton University), ``Hypoellipticity and loss of derivatives"

COFFEE BREAK

11:30-12:20: C. Fefferman (Princeton University), ``Integral conformal invariants"

LUNCH BREAK

2:00-2:50: R. Hamilton (Columbia University), ``The Ricci flow on 3-manifolds"

3:00-3:50: R. Bryant (Duke University), ``A flow for CR hypersurfaces in unimodular surfaces"

COFFEE BREAK

4:30- 5:00: A. Chau (Harvard University), ``Uniformization for complete non-compact Kähler manifolds and the Kähler-Ricci flow"

5:05- 5:35: A. Cap (University of Vienna), ``On the Fefferman construction"

5:40- 6:10: S.Y. Li (University of California, Irvine), ``Characterization of ball by using potential functions for Kähler-Einstein metrics and pseudo-Ricci curvature"

9:00-9:50: S.T. Yau (Harvard University), title to be announced

10:00-10:50: T. Ohsawa (Nagoya University), ``L^2 estimates for d-bar and Levi flats"

COFFEE BREAK

11:30-12:20: N. Sibony (University of Paris, Orsay), ``Holomorphic laminations, energy, and harmonic currents"

LUNCH BREAK

2:00-2:50: V. Guillemin (M.I.T.), ``Morse theory on symplectic manifolds and convexity theorems"

3:00-3:50: Y.T. Siu (Harvard University), ``Methods of singular metrics in algebraic geometry"

COFFEE BREAK

4:30-5:00: J. Sturm (Rutgers University), ``The Monge-Ampere operator and geodesics in the space of Kähler potentials"

5:05-5:35: Z. Lu (University of California, Irvine), ``BCOV torsion on Calabi-Yau threefolds"

5:40-6:10: H. Goldschmidt (Columbia University), ``Infinitesimal isospectral deformations of symmetric spaces"

7:00 BANQUET, Columbia Faculty Club

9:00-9:50: P. Griffiths (Institute for Advanced Study), ``Hodge theory and algebraic cycles".

10:00-10:50: L. Lempert (Purdue University), ``Dolbeault cohomology of a loop space"

COFFEE BREAK

11:30-12:20: J. Noguchi (University of Tokyo), ``Holomorphic curves, log jet spaces, and applications"

LUNCH BREAK

2:00-2:50: E.M. Stein (Princeton University), ``On algebras of singular integral and pseudo-differential operators"

3:00-3:50: G. Tian (Princeton University), ``On Kähler metrics of constant scalar curvature"

COFFEE BREAK

4:30-5:00: X. Rong (Rutgers University), ``Collapsed manifolds with pinched positive sectional curvature"

5:05-5:35 B. Weinkove (Harvard University), ``J-flow, Mabuchi energy, and canonical metrics in Kähler geometry"

5:40-6:10: J. Loftin (Rutgers University), "Singular semi-flat Calabi-Yau metrics on S

9:00-9:50: J. Sjöstrand (Ecole Polytechnique), ``Asymptotics of the Bergman kernels for high powers of complex line bundles"

10:00-10:50: K. Diederich (Wuppertal University), ``Complex spaces: news about longtime questions"

COFFEE BREAK

11:30-12:20: B. Shiffman (Johns Hopkins University), ``Critical point asymptotics and extremal metrics"

LUNCH BREAK

2:00-2:50: N.M. Mok (University of Hong Kong), ``Germs of local holomorphic isometries between bounded symmetric domains"

3:00-3:50: S.K. Yeung (Purdue University), ``Geometric aspects of moduli spaces of curves and complex hyperbolic lattices"

COFFEE BREAK

4:30-5:00: R. Wentworth (Johns Hopkins University), ``On the blow-up of the Yang-Mills flow on Kähler surfaces"

5:05-5:35: E. Falbel (University of Paris, Jussieu), ``Constructing spherical CR manifolds by gluing tetrahedra"

5:40-6:10: T. Morimoto (Nara University), ``Two theorems in sub-riemannian geometry"

6:15-6:45: S. Paul (Columbia University), ``K-stability in Kähler geometry"

9:00-9:50: J. Cheeger (Courant Institute), ``Curvature and injectivity estimates for Einstein 4-manifolds"

10:00-10:50: L. Boutet de Monvel (University of Paris, Jussieu), ``Logarithmic traces of Szegö and Toeplitz operators"

COFFEE BREAK

11:30-12:20: S. Zelditch (Johns Hopkins University), ``Complex zeroes of real ergodic eigenfunctions"

LUNCH BREAK

1:30-2:00: C. Epstein (University of Pennsylvania), ``Deformations of surface singularities and the relative index"

2:05-2:35: D. Tartakoff (University of Illinois, Chicago), ``Analyticity and loss of derivatives"

2:40-3:10: J. Song (Johns Hopkins University), ``The Szegö kernel on an orbifold line bundle"

3:15-3:45: K. Hirachi (University of Tokyo and Princeton University), ``Jet isomorphism theorems in CR and conformal geometries"

COFFEE BREAK

4:15-4:45: G. Francsics (Michigan State University), ``Spectral analysis on complex hyperbolic spaces"

4:50- 5:20: G. Komatsu (Osaka University), ``Hadamard's variations in several complex variables"

5:25-5:55: K. Yamaguchi (Hokkaido University), ``On Drapeaux theorem for differential systems"

6:00-6:30: M. Namba (Osaka University), `` Moduli of Galois coverings of the complex projective line"