Dear Colleagues/Students,

Southern California Logic Group is organizing a graduate summer school in

set theory to be held June 25 through July 6 at the UC Irvine Campus. The

topic of the summer schools is

Large Cardinals, Inner Models and fine structure.

Instructors:

- Sean Cox (Muenster)
- Grigor Sargsyan (Rutgers)
- Martin Zeman (Irvine)

The idea is to make a very intensive school where both students and

instructors will give presentations and where discussions will be held to

work on problems. The topics will will cover both the theory and

applications of fine structural inner models.

**PROGRAM**: The there will be two groups of participants at different level of experience. The material covered in the summer school is chosen so that most of it will be new for both groups, although there will be of course more work load for the less experienced group. The focus will be on intermediate core models and their applications in cardinal arithmetic, descriptive set theory and combinatorics. Here is some background reading with instructions.

LESS EXPERIENCED MORE EXPERIENCED

This will be a very intensive two-week session focused on basic inner model theory. The precise topics will be specified once we have some core list of participants, in order to fit the schedule to their background and level to the best possible extent. It is assumed the participants have basic knowledge of set theory. Knowledge of forcing is preferable, but not absolutely necessary. The session will consist of presentations given by the organizer, participants and postdoctoral fellows who will help to run the school. On top of the presentations there will be discussion sessions where the participants will actively work on problems.

—

The school is able to provide full support to US citizens and permanent

residents. I am also looking for funding for foreign students, but foreign

students may need funding from their universities or advisors.

I would be very grateful if you could help spread this message among all

graduate students who may be potentially interested and to set theorists

who may have interested students.

Please do not hesitate to contact me and ask questions if you have any.

Martin Zeman