A graduate summer school in set theory will be held July 25 – August 5 2016 at the University of California Irvine.

The subject of the summer school will be singular cardinal combinatorics, with a focus on PCF theory. The school will begin with a thorough treatment of PCF and related topics in combinatorial set theory, including club guessing and approachability. After this the school will treat interactions between PCF and other areas of set theory (including for example large cardinals, forcing axioms, reflection principles and squares).

The instructors will include James Cummings (CMU) and Christopher Lambie-Hanson (Hebrew University of Jerusalem). Lectures will be held Monday-Friday in each of the weeks July 25-29 and August 1-5. Each day will include two 90-minute lectures and two 90-minute discussion periods.

Participants will be housed in student housing on the Irvine campus. The school will fully support US citizens and permanent residents: this includes housing, meals, and travel costs (from US cities using US carriers).

If you are a graduate student and are interested in attending the summer school, please write to 2016gsst@gmail.com with a short statement about your background in set theory and your interest in attending.

The web page for the summer school is

http://www.math.cmu.edu/users/jcumming/summer_school/

This summer school is supported by the National Science Foundation grant DMS-1044150 as part of the program EMSW21-RTG: Logic in Southern California.