## 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

**Blaine Lawson**(Stony Brook University)

The mathematical work of James Simons and its impact on the field (part I)

**Jeff Cheeger**(Courant Institute of Mathematical Sciences, NYU)

The mathematical work of James Simons and its impact on the field (part II)

**C. N. Yang**(Yang Institute for Theoretical Physics, Stony Brook University)

Vector Potentials and Connections

*(Note: No audio for first 3 minutes)*

**Jeff Cheeger**(Courant Institute of Mathematical Sciences, NYU)

The Small Scale Structure of Spaces with Ricci Curvature Bounded Below

**Blaine Lawson**(Stony Brook University)

Connections and Singularities of Maps

**Gang Tian**(MIT)

Gauge Theory and Calibrated Geometry

**Robert Bryant**(Duke University)

Recent results and open problems in Finsler geometry

**Dennis Sullivan**(Stony Brook University and CUNY)

A combinatorial model for non-linearity

*(Note: No audio for first 8.5 minutes)*

**Shing-Tung Yau**(Harvard University)

Mirror Symmetry and Rational Curves

**Scott Axelrod**(MIT)

Generalized Chern-simons invariants as a generalized Lagrangian field theory

**Mikhael Gromov**(Courant and I.H.E.S.)

Dynamics on function spaces

**Jean-Michel Bismut**(Université Paris-Sud XI - Orsay)

Chern-Simons classes, Bott-Chern classes and analytic torsion

**Spencer Bloch**(University of Chicago)

Algebro-geometric Chern-Simons classes

**Maxim Kontsevich**(I.H.E.S.)

On regulators, critical values and q-factorials

**Robert Bryant**(Duke University)

Recent progress on the holonomy classification problem

**Jürg Fröhlich**(E.T.H - Zurich)

Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)

**Clifford Taubes**(Harvard University)

Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves

**John Milnor**(Stony Brook University)

Remarks on geometry and dynamics

**Robert MacPherson**(I.A.S.)

Spaces with torus actions