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Edited by

Michael J. Hopkins Tomasz S. Mrowka Massachusetts Institute of Technology Cambridge, MA 02138, USA Cambridge, MA 02139-4307, USA Gang Tian Princeton University Princeton, New Jersey 08544, USA

Editorial Board George E. Andrews Charles Fefferman Pennsylvania State University Princeton University University Park, PA 16802, USA Princeton, NJ 08544, USA

Alexandra Bellow Daniel S. Freed University of Texas at Austin Evanston, IL 60201, USA Austin, TX 78712, USA David Ben-Zvi Mathematics Department Adriano Garsia University of Texas at Austin University of California, San Diego Austin, TX 78712-0257, USA La Jolla, CA 92037, USA

Roman Bezrukavnikov I.M. Gelfand Massachusetts Institute of Technology Rutgers University Massachusetts, USA New Brunswick, NJ 08903, USA Sara C. Billey Department of Mathematics Mark Hovey University of Washington Wesleyan University Seattle, WA 98195-4350, USA Middletown, CT 06459, USA

Felix Browder Vaughan Jones Hill Center, Bush Campus University of California, Berkeley Rutgers University Berkeley, CA 94720, USA New Brunswick, NJ 08903, USA Luis Caffarelli Gil Kalai RLM 8.100 Institute of Mathematics University of Texas at Austin Hebrew University, Givat Ram Austin, TX 78712, USA Jerusalem 91904, Israel

Alain Connes Ludmil Katzarkov Institut Hautes Études Scientifiques University of California, Irvine 35, Rue de Chartres Irvine, CA 92697, USA 91440 Bûres-sur-Yvette, France Andreas Dress Takahiro Kawai Research Institute for Mathematical Sciences Postfach 8640 Kyoto University Universität Bielefeld D-4800 Bielefeld 1, Kitashirakawa, Sakyo-ku Kyoto 60601, Japan Kenneth Falconer H. Jerome Keisler University of St Andrews, North Haugh University of Wisconsin St Andrews, Fife KY16 9SS, United Kingdom Madison, WI 53706-1388, USA