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- April 22, 2002

**SPEAKER:**Mirna Dzamonja, Mathematics, University of East Anglia

**TITLE:**Axioms for universality

**ABSTRACT:**In the first talk we discuss an axiom that is a sufficent condition for an abstract elementary class to consistently have $\lambda^{++}$ universal elements of size $\lambda^+$ for a cardinal $\lambda$ that has the value of $2^\lambda$ very large and satisfies $\lambda=\lambda^{<\lambda}$. In the second talk we show how these axioms can be applied to a class of Boolean algebras and a class of topological spaces coming from functional analysis.

- April 26, 2002 (4:30PM at WeH 7500)

**SPEAKER:**Andres Villaveces, Mathematics, National University of Colombia at Bogota

**TITLE:**Classifying Mathematical Structures: some trends in model theory.

**ABSTRACT:**There is no such thing as a precise definition of a canonical structure. However, model theory in the last thirty years has provided strong tools and frameworks for algebra, Banach Space theory and Compact Manifolds, among other areas. I plan to show why the interaction between Model Theory and other parts of mathematics may be quite natural, and mention some examples of these interactions. I plan to concentrate on the role of {\bf homogeneous} and {\bf universal} mathematical structures.

- April 29, 2002

**SPEAKER:**Mirna Dzamonja, Mathematics, University of East Anglia

**TITLE:**An application of the axioms of universality to a problem in functional analysis

**ABSTRACT:**In the first talk we discuss an axiom that is a sufficent condition for an abstract elementary class to consistently have $\lambda^{++}$ universal elements of size $\lambda^+$ for a cardinal $\lambda$ that has the value of $2^\lambda$ very large and satisfies $\lambda=\lambda^{<\lambda}$. In the second talk we show how these axioms can be applied to a class of Boolean algebras and a class of topological spaces coming from functional analysis.

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Last modified:
April 22^{th}, 2002 |