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.