Complete disorder is impossible: some topics in Ramsey theory
CMSA EVENTS: CMSA COLLOQUIUM
When: October 12, 2022
12:30 pm - 1:30 pm
Where: CMSA, 20 Garden St, G10
Address:
20 Garden Street, Cambridge, MA 02138, United States
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.