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Homotopy Theory
This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17-21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL. The articles cover a variety of topics spanning the current researc...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_on1104704802 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 008 | 190720s2019 riu o 000 0 eng d | ||
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| 066 | |c (S | ||
| 020 | |a 9781470452933 | ||
| 020 | |a 1470452936 | ||
| 035 | |a (OCoLC)1104704802 | ||
| 050 | 4 | |a QA612.7 |b .H666 2019 | |
| 082 | 0 | 4 | |a 514.24 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Davis, Daniel G. | |
| 245 | 1 | 0 | |a Homotopy Theory |
| 260 | |a Providence : |b American Mathematical Society, |c 2019. | ||
| 300 | |a 1 online resource (282 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics Ser. ; |v v. 729 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Contents; Preface; Plenary Talks; Parallel Talks; The -family in the (2)-local sphere at the prime 2; 1. Introduction; 2. The -family in the Adams-Novikov Spectral Sequence; 3. Subgroups of ₂ and the algebraic duality spectral sequence; 4. The -family in the (2)-local sphere; References; A constructive approach to higher homotopy operations; Introduction; 1. The classical Toda Bracket; 2. Graded Reedy Matching Spaces; 3. General Definition of higher order operations; 4. Separating Total Operations; 5. Rigidifying Simplicial Diagrams up to Homotopy | |
| 505 | 8 | |a 6. Pointed higher operations7. Long Toda Brackets and Massey Products; 8. Fully reduced diagrams; Appendix A. Background Material; Appendix B. Indeterminacy; References; The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors; 1. A crash course in -Tambara functors; 2. Free -Tambara functors; 3. Free ₂ Green and Tambara functors; 4. The operadic right adjoint; References; The centralizer resolution of the (2)-local sphere at the prime 2; 1. Introduction; 2. Important finite subgroups for Morava stabilizer groups at = =2 | |
| 505 | 8 | |a 5. Level representations of ⋉ and ^{ } ( / )6. Modularity of ^{ } (ℳ); 7. Some comments on our construction; References; Calculating obstruction groups for _{∞} ring spectra; 1. Introduction; 2. Postnikov-based obstructions to commutativity; 3. Background: Goerss-Hopkins obstruction theory; 4. Homology-based obstructions to commutativity; 5. Tools for calculation; 6. Koszul duality; 7. Filtrations and stability; 8. The critical group and secondary operations; 9. Calculation setup for; 10. First calculations: =-1; 11. Further calculations: =0 | |
| 505 | 8 | |a 12. Further calculations: =113. Further calculations: =2; 14. Final calculations in weight 2; References; Comodules, sheaves, and the exact functor theorem; 1. Even periodic ring spectra and formal groups; 2. Cobordism comodules; 3. Cobordism sheaves; 4. Height; 5. Landweber exactness; References; Complex orientations for of some perfectoid fields; References; String bordism and chromatic characteristics; Introduction; 1. Characteristics in chromatic homotopy theory; 2. Chromatic and versal examples; 3. K-theories; 4. Topological modular forms; 5. Bordism theories; Acknowledgments | |
| 504 | |a References | ||
| 520 | |a This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17-21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL. The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and K-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, an. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 600 | 1 | 0 | |a Goerss, Paul Gregory |v Congresses. |
| 650 | 0 | |a Homotopy theory |v Congresses. | |
| 650 | 6 | |a Homotopie |v Congrès. | |
| 650 | 7 | |a Homotopy theory |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Henn, Hans-Werner. | |
| 700 | 1 | |a Jardine, J. F. | |
| 776 | 0 | 8 | |i Print version: |a Davis, Daniel G. |t Homotopy Theory: Tools and Applications. |d Providence : American Mathematical Society, ©2019 |z 9781470442446 |
| 830 | 0 | |a Contemporary Mathematics Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788262 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 3. The mod-2 cohomology algebra of ₂¹4. Algebraic centralizer resolutions; 5. Topologically realizing the algebraic centralizer resolutions; References; Galois descent criteria; Introduction; 1. Profinite groups; 2. Cosimplicial spaces; 3. Pro-objects; 4. Galois descent; References; Quantization of the modular functor and equivariant elliptic cohomology; 1. Introduction; 2. Background on Dominant -theory and the space; 3. The equivariant sheaf ^{ } _{ ⋉ } over ×Σ_{}ℂ, and locality; 4. The sheaf ^{ } *(ℳ) over the universal elliptic curve, and Theta functions | |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5788262 | ||
| 994 | |a 92 |b IZTAP | ||