Global convergence of a non-convex Douglas-Rachford iteration

maximal monotone operator theory has recently turned fifty years old. In the first part of the talk, I shall try to explain why maximal(ly) monotone operators are both interesting and important objects while briefly survey the history of the subject — culminating with a description of the remarkable progress made during the past decade. In the second part of the talk, I shall describe in more detail some of the recent striking results on the structure of monotone operators in nonreflexive space.