Speaker:

Imre Leader (Cambridge)

Date/Time:

Mon, 26/11/2012 - 16:30

Room:

M103

Seminar series:

A finite or infinite matrix M is called `partition regular' if whenever the

natural numbers are finitely coloured there exists a monochromatic vector

x with Mx=0. Many of the classical results of Ramsey theory, such as

van der Waerden's theorem or Schur's theorem, may be naturally rephrased

as assertions that certain matrices are partition regular,

While the structure of finite partition regular matrices is well understood,

little is known in the infinite case. In this talk we will review some

known results and then proceed to some recent developments.