Erik Walsberg (UCLA). Speaker Information
Metric geometry in the O-minimal setting.
I will discuss the geometry of those metric
spaces which are definable in o-minimal expansions of fields.
Henry Macdonald (Caltech).
In combinatorics, the axiom of choice is often
used to justify the existence of a certain object - a graph
coloring, say, or a matching. In descriptive combinatorics, we
ask: what happens if we place definability restrictions from
descriptive set theory on these objects? I will discuss various
situations where these considerations give rise to some
interesting questions. In particular, I will discuss "Borel
chromatic numbers", and a result about extending a combinatorial
argument from cardinal arithmetic to the field of Borel
Andres Forero (UCI). Speaker
Consistency strength of Stationary Catching
In this talk we will give a brief overview of
Generic large cardinal axioms and their motivation. In concrete we
consider certain collections of structures that behave nicely with
respect to a fixed ideal on omega_2, and introduce axioms
asserting that these collections are large. We will specifically
consider the consistency strength of the Stationary Catching Axiom
(which is a weakening of the saturation of an ideal), in terms of
Woodin cardinals. For this purpose, we will describe two important
techniques used: the core model induction, and covering arguments.
Return to top
Alexander Kechris (Caltech). Organizer
Itay Neeman (UCLA). Organizer
Martin Zeman (UCI) Organizer
Alexander Kechris (Caltech) Organizer Information
Andrew Marks (Caltech) Organizer
Jay Williams (Caltech) Organizer Information
Return to top