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Title: M.e.c. limits of homogeneous structures
Abstract:
In this talk we get a glimpse into the study of m.e.c. limits, especially
those of countably infinite homogeneous structures. This is centred upon a conjecture of MacPherson,
Steinhorn, Anscombe, and Wolf, that a countably infinite homogeneous structure has a m.e.c. limit if and
only if it is stable. We know this to be true in the forward direction, however the backward direction is still
open. We shall prove that there doesn’t exist a m.e.c. limit for the Random Graph, and then show how we
might use this example to handle other related unstable structures.
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We will likely meet for coffee and tea at 3:15pm in TBC and go to the pub and dinner after the seminar.