Preface; 1. Discrete torsion for the supersingular orbifold sigma genus Matthew Ando and Christopher P. French; 2. Quaternionic elliptic objects and K3-cohomology Jorge A. Devoto; 3. Algebraic groups and equivariant cohomology theories John P. C. Greenlees; 4. Delocalised equivariant elliptic cohomology Ian Grojnowski; 5. On finite resolutions of K(n)-local spheres Hans-Werner Henn; 6. Chromatic phenomena in the algebra of BP*BP-comodules Mark Hovey; 7. Numerical polynomials and endomorphisms of formal group laws Keith Johnson; 8. Thom prospectra for loopgroup representations Nitu Kitchloo and Jack Morava; 9. Rational vertex operator algebras Geoffrey Mason; 10. A possible hierarchy of Morava K-theories Norihiko Minami; 11. The M-theory 3-form and E8 gauge theory Emanuel Diaconescu, Daniel S. Freed and Gregory Moore; 12. The motivic Thom isomorphism Jack Morava; 13. Toward higher chromatic analogs of elliptic cohomology Douglas C. Ravenel; 14. What is an elliptic object? Graeme Segal; 15. Spin cobordism, contact structure and the cohomology of p-groups C. B. Thomas; 16. Brave New Algebraic Geometry and global derived moduli spaces of ring spectra Bertrand Toen and Gabriele Vezzosi; 17. The elliptic genus of a singular variety Burt Totaro.