Multipliers of Temperate Distributions We will show that the space Oq of multipliers of temperate distributions can be expressed as the inductive limit of certain

The spectral Schwarz lemma revisited An algebroid function K(z) is the set-valued function obtained by taking the zeroes of a polynomial whose coefficients are holomorphic functions of z. We present a sharpened version of the Schwarz lemma for algebroid functions, and discuss it in the context of the spectral Nevanlinna–Pick problem. JONATHAN BORWEIN, Dalhousie University Maximality of Sums of Monotone Operators We say a multifunction T: X 7 → 2X ∗ is monotone provided that for any x, y ∈ X, and x ∗ ∈ T (x), y ∗ ∈ T (y), 〈y − x, y ∗ − x∗ 〉 ≥ 0, and that T is maximal monotone if its graph is not properly included in any other monotone graph. The convex subdifferential in Banach space and a skew linear matrix are the canonical examples of maximal monotone multifunctions. Maximal monotone operators play an important role in functional analysis, optimization and partial differential equation theory, with applications in subjects such as mathematical economics and robust control. In this talk, based on [1], I shall show how—based largely on a long-neglected observation of Fitzpatrick —the originally quite complex theory of monotone operators can be almost entirely reduced to convex analysis. I shall also highlight various long standing open questions which these new techniques offer new access to