I gave an invited special session talk at the 2011 meeting of the Canadian Mathematical Society.

**Talk Title:** The extent of the failure of Ramsey’s theorem at successor cardinals.

**Abstract:** We shall discuss the results of the following papers:

- Transforming rectangles into squares, with applications to strong colorings
- Rectangular square-bracket operation for successor of regulars

Both papers deal with strong colorings of successor cardinals. The first concerns successor of singular cardinals, and the second (Joint work with Todorcevic) — successor of regular cardinals.

**Downloads:**