Abstracts:
Erik Walsberg (UCLA). Speaker Information
Title: Metric geometry in the O-minimal setting.
Abstract: I will discuss the geometry of those metric
spaces which are definable in o-minimal expansions of fields.
Henry Macdonald (Caltech).
Title: Descriptive combinatorics
Abstract: 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
equivalence relations.
Andres Forero (UCI). Speaker
information
Title: Consistency strength of Stationary Catching
Abstract: 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.
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Organizers:
Alexander Kechris (Caltech).
Organizer
Information
Itay Neeman (UCLA).
Organizer
Information
Martin Zeman (UCI)
Organizer
Information
Local Organizers:
Alexander Kechris (Caltech)
Organizer Information
Andrew Marks (Caltech)
Organizer
Information
Jay Williams (Caltech)
Organizer Information
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