Logic Seminar

Recently, Justin Moore proved results connecting the phenomena of amenability
and Ramsey theory. In this talk, we will consider the case where G is the automorphism group
of a Fraisse structure. We will define a convex Ramsey object and show that G is amenable
iff the Fraisse class has the convex Ramsey property. Our method of proof will be different; we first
define and characterize the greatest affine ambit, then show exactly what the fixed points
of this flow are. If time permits, we will also consider the case when G is amenable
and G has metrizable universal minimal flow.