Recent Advances in Core Model Theory December 13 to December 17, 2004 AIM Research Conference Center, Palo Alto, CA Organizers: John Steel and Ernest Schimmerling Workshop topics: This workshop, sponsored by AIM and the NSF, will be devoted to important recent results in core model theory due to Hugh Woodin, results whose proofs are not widely known and have not been published. One of these is Woodin's refutation of the Cofinal Branches Hypothesis (CBH). Another is his identification of HOD computed inside a model of AD+ with a new kind of inner model, constructed from extenders and iteration strategies. Woodin has agreed to be the primary lecturer. Steel and possibly one or two others will exposit parts of Woodin's work or the material on which it rests. We hope that the wider dissemination of these developments will lead to further advances in one of the central programs in pure set theory: extending inner model theory to stronger large cardinal hypotheses. Application deadline: September 13, 2004 For more information: http://aimath.org/ARCC/workshops/coremodel.html