B. Banaschewski  Baire sets versus the Boolean reflection of sigmaframes: We present an analysis of the relation between the sigmafield BX of Baire sets of a Tychonoff space X (= the sigmafield of subsets of X generated by Coz X, the sigmaring of cozero sets of X) and the abstractly given Boolean sigmaframe reflection of Coz X. 
M. M. Clementino  Lawvere completeness for lax proalgebras (Joint work with D. Hofmann): In this talk, using the approach to quasiuniform spaces as lax proalgebras, in the sense of [2], we will show that Cauchycompleteness can be viewed as (categorical) Lawverecompleteness (as detailed in [1]) and we will generalize Salbany's completion monad [3]. References: 
J. Gutiérrez García  On extended realvalued functions in pointfree topology (Joint work with J. Picado, in progress): We continue the development of the localic theory of realvalued functions, recently introduced by Gutiérrez García, Kubiak and Picado [Localic realvalued functions: a general setting, Journal of Pure and Applied Algebra 213 (2009) 10641074]. In this talk we intend to present our last results in the study of extended realvalued functions in this setting. 
D. Hofmann  An unnatural duality: In this talk we extend the notion of complete distributivity from ordered sets to (topological) spaces. Furthermore, we construct a dual adjunction between topological spaces and completely distributive spaces and relate this to the "traditional" adjunction between spaces and frames. 
N. Marcus  On atomless Boolean algebras: In this talk we shall discuss some atomless Boolean algebras obtained by way of topological spaces introduced by Husek [2, 3] in his study of Herrlich's notion of kcompactness [1].
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P. Resende  Stably Gelfand quantales: The notion of Gelfand quantale introduced by Mulvey is part of an attempt to characterize the quantales that arise from C^{*}algebras. In this talk I will show that a stronger notion, that of stably Gelfand quantale, of which the quantales of C^{*}algebras are still examples, has very interesting properties both in connection with C^{*}algebras and their relation to groupoids via convolution of C^{*}algebras, and in connection with notions of sheaf on quantales. An involutive quantale Q is stably Gelfand if it satisfies the condition The first appearance of this axiom, for involutive quantaloids, is in a paper of Dale Garraway who calls such quantaloids pseudorightsided. 
A. H. Roque  Descent in categories of models of a binary relational implication: We characterize descent morphisms in categories of models of a binary relational implication and give sufficient conditions for these morphisms to be of effective descent.. 