CMSA Colloquium: Complete disorder is impossible: some topics in Ramsey theory

SEMINARS, CMSA EVENTS

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October 12, 2022 12:30 pm - 1:30 pm
CMSA, 20 Garden St, G10
Address: 1 Oxford Street, Cambridge, MA 02138 USA
Speaker:

James Cummings - Carnegie Mellon University


The classical infinite Ramsey theorem states that if we colour pairs of natural numbers using two colours, there is an infinite set all of whose pairs get the same colour. This is the beginning of a rich theory, which touches on many areas of mathematics including graph theory, set theory and dynamics. I will give an overview of Ramsey theory, emphasising the diverse ideas which are at play in this area.