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: What kind of interaction can you expect between Model Theory and
the rest of Mathematics? ABSTRACT: Model theory in the last years has started to provide results
in branchs of mathematics such as algebra, Banach Space theory and Compact
Manifolds.
In this talk, I will show why the interaction between Model Theory and
other parts of mathematics is very natural, and mention several examples
of these interactions. I plan to concentrate on the role of homogeneous
and universal mathematical structures.

In case you have suggestions for topic or willing
to speak please contact Rami@cmu.edu