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Elliptic cohomology : geometry, applications, and higher chromatic analogues

Author: Haynes R Miller; Douglas C Ravenel; London Mathematical Society.
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2007.
Series: London Mathematical Society lecture note series, 342.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

Elliptic cohomology is a very active field of mathematics, with connections to algebraic topology, theoretical physics, number theory and algebraic geometry. This volume represents these connections,  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Haynes R Miller; Douglas C Ravenel; London Mathematical Society.
ISBN: 9780521700405 052170040X
OCLC Number: 123373742
Notes: "[Papers from] a workshop entitled 'Elliptic Cohomology and Chromatic Phenomena' ... held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, on 9-20 December, 2002"--Preface.
Description: xiv, 364 pages : portrait ; 23 cm.
Contents: 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.
Series Title: London Mathematical Society lecture note series, 342.
Other Titles: Elliptic cohomology and chromatic phenomena
Responsibility: [edited by] Haynes R. Miller, Douglas C. Ravenel.
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