Spring 2009, Thursdays, Milner 216, 4:00-4:50 PM

Date: March 12

"  Ramsey Theory and Applications in Banach Spaces "
  Daniel Freeman  


Among any 6 people there are always 3 that are all mutually acquainted or that are all strangers. This is a classic example of Ramsey theory from 1930. Ramsey theory has grown since then, and been applied in many different areas of mathematics. In particular, infinite Ramsey theorems have achieved noteworthy results when applied to sequences in Banach spaces.

The first part of the talk will be presentation of a classic Ramsey theorem as well as a more modern topological Ramsey theorem. The second part will cover some applications of the presented theorems to Banach spaces.

No prior knowledge of Ramsey theory or Banach spaces will be assumed.