The Corona Problem: Connections Between Operator Theory, Function Theory, and Geometry

The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick).- Corona Problem for H^\infty on Riemann Surfaces (A. Brudnyi).- Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas).- On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier).- A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane).- The Corona Problem in Several Complex Variables (S.G. Krantz).- Corona-Type Theorems and Division in Some Function Algebras on Planar Domains (R. Mortini, R. Rupp).- The Ring of Real-Valued Multivariate An Analyst's Perspective (R. Mortini, R. Rupp).- Structure in the Spectra of Some Multiplier Algebras (R. Rochberg).- Corona Solutions Depending Smoothly on Corona Data (S. Treil, B.D. Wick).- On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk (T.T. Trent).