July 11, 2012 -
4:00 pm to 5:00 pm
Location: Cupples I, Room 7 |
Host: Timothy Chumley
Abstract: Although Corona Theorems have interesting applications, they are more famous for the innovative techniques used to prove both the original Corona problem and later related results. In this talk, we will discuss Wolff's elegant proof of the original Corona Theorem in the unit disk. We will then consider a more general setup and show how corona problems can sometimes be reduced to Hilbert space problems via the Toeplitz Corona Theorem. Time permitting, we will mention how the Toeplitz Corona Theorem has been used by Costea, Sawyer, and Wick to obtain Corona results for a range of Besov-Sobolev spaces.
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