Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, March 01, 2011, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Jan Foniok

On Ramsey classes of structures

The classical Ramsey theorem (1930) asserts that for any positive integers a, b and any number of colours r, there is a number c such that no matter how we colour all a-element subsets of {1,...,c}, there will always be a b-element subset whose a-subsets all have the same colour.

This theorem has a structural generalisation: We colour subgraphs (or substructures) of C isomorphic to a given graph A, and want to find a subgraph isomorphic to B. There is a strong link to amalgamation classes and Fraïssé limits.

I will talk about results achieved about 5 years ago jointly with J. Böttcher, and about what I've learnt and done during my first four weeks in Paris.

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