Title: The Corona Theorem

Abstract: Carleson's Corona Theorem has served as a major motivation for many results in complex function theory, operator theory and harmonic analysis. In a simple form, the result states that for N bounded analytic functions f₁, ..., f_N   on the unit disc such that inf inf{|f₁|+...+|f_N|}\geq \delta >0 it is possible to find N other bounded analytic functions g₁,...,g_N such that f₁g₁+...+f_Ng_N =1. Moreover, the functions g₁,...,g_N can be chosen with some norm control.

In this talk we will discuss some generalizations of this result to certain vector valued functions and connections with geometry and to function spaces on the unit ball in several complex variables.

About the Speaker: Brett Wick received  his PhD from Brown University in 2005  under the direction of Sergei Treil. Wick was a Postdoctoral Fellow at the Swedish Royal Institute of Technology and a Jerrold E. Marsden Postdoctoral Fellow at the Fields Institute in Canada. He was in the faculty at Vanderbilt University, University of South Carolina, and Georgia Institute of Technology before joining the faculty at Washington University in 2015 where he is now a Full Professor.  Wick is interested in problems in analysis of several complex variables, harmonic analysis and operator theory, and specifically the interaction between these subjects. Many of his research projects deal with extending results in complex and harmonic analysis to more variables.  He has published  more than 100 papers  and trained a  number of postdocs and PhD students. He has had continuous NSF support since 2006. Wick is a 2013 Fellow of the AMS (Inaugural Class), a recipient of an NSF CAREER Award and an Alexander von Humboldt Research Fellow.