Prof Imre Leader, Van der Waerden’s Theorem

Speaker:Prof Imre Leader (DPMMS
Venue: Winstanley Lecture Theatre, Trinity College
Time: 11/10/2010 20:30, drinks from 19:45

Suppose we are presented with a long string of beads. The beads come in two colours, red and blue, but there is not necessarily any `pattern’ to the way they are threaded on the string. Can we guarantee to find three equally-spaced beads of the same colour? For example, if the 5th, 7th and 9th beads were all blue then this would count. This question leads on to some beautiful mathematics.

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