Compact moduli spaces and birational geometry December 6 to December 10, 2004 AIM Research Conference Center, Palo Alto, CA Organizers: Brendan Hassett and S'andor Kov'acs Workshop topics: This workshop, sponsored by AIM and the NSF, will be devoted to the study of compact moduli spaces, especially those inspired by the minimal model program. Perhaps the first example is the Deligne/Mumford compactification of the moduli space of stable curves, where the limiting curves are dictated by the structure of canonical models for surfaces fibered over curves. This was extended to surfaces by Koll'ar/Shepherd-Barron and Alexeev, which led to work of Corti, Hacking, Tevelev/Keel, Alexeev, and others, where birational geometry inspired the choice of limiting objects, and sometimes played a role in constructing moduli spaces. The main goals of this workshop are: to promote cross-fertilization by bringing together specialists in birational geometry and moduli theory; to make the techniques of the field more widely-known and accessible; and to identify concrete, tractable questions for young researchers entering the area. Application deadline: September 20, 2004 For more information: http://aimath.org/ARCC/workshops/birational.html