[Settfa] More details concerning Friday's seminar

[Wieslaw Kubis]

Dear all,

Please find below the title and abstract of Lionel's talk.

All the best,

Wieslaw

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Title: Revisiting the Erdös-Rado canonical partition theorem

Abstract: One of the numerous strengthenings of Ramsey's theorem is due 
to Erdös and Rado, who analyzed what partition properties can be 
obtained on m-subsets of the naturals when colorings are not necessarily 
finite. Large monochromatic sets may not appear in that case, but there 
is a finite list of behaviors, called "canonical", to which every 
coloring reduces. The purpose of this talk will be to remind certain not 
so well-known analogous theorems of the same flavor that were obtained 
by Prömel in the eighties for various classes of structures (like graphs 
or hypergraphs), and to show how such theorems can in fact be deduced in 
the more general setting of Fraïssé classes.