Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
“Differential Analysis I: The Banach space implicit function theorem”
This is the first in a series of talks on various aspects of differential analysis, including Fred- holm theory and the index of Fredholm operators, the infinite-dimensional implicit function theorem and its applications to moduli spaces, elliptic regularity, and more. In this first week, we focus on basic properties of Fredholm operators and state and prove the general Banach space versions of the inverse and implicit function theorems. Everyone is welcome to attend.