Description 
1 online resource (282 pages) 
Series 
Contemporary Mathematics Ser. ; v. 729 

Contemporary Mathematics Ser

Contents 
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 AdamsNovikov 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 

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 

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. Postnikovbased obstructions to commutativity; 3. Background: GoerssHopkins obstruction theory; 4. Homologybased 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 

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. Ktheories; 4. Topological modular forms; 5. Bordism theories; Acknowledgments 
Summary 
This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 1721, 2017, at the University of Illinois at UrbanaChampaign, 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 Ktheory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, an 
Bibliography 
References 
Notes 
Print version record 
Subject 
Goerss, Paul Gregory  Congresses


Homotopy theory  Congresses


Homotopy theory.

Genre/Form 
Conference papers and proceedings.

Form 
Electronic book

Author 
Henn, HansWerner


Jardine, J. F

ISBN 
9781470452933 

1470452936 
