Algebraic topology : applications and new directions : Stanford Symposium on Algebraic Topology: Applications and New Directions, July 23--27, 2012, Stanford University, Stanford, CA / / Ulrike Tillmann, Soren Galatius, Dev Sinha, editors

• Record Nr.: UNINA9910820222803321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• ISBN: 1-4704-1855-X
• Descrizione fisica: 1 online resource (328 p.)
• Collana: Contemporary mathematics, , 1098-3627 ; ; 620 , 0271-4132
• Classificazione: 14M2518D5019D5555R4055Q9157R5657S1760D05
• Disciplina: 514/.2
• Soggetti: Algebraic topology
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: Preface -- Scientific Programme -- List of Participants and Conference Photo -- Representation stability in cohomology and asymptotics for families of varieties over finite fields -- 1. Introduction -- 2. The twisted Grothendieck-Lefschetz Formula -- 3. Hyperplane arrangements, their cohomology, and combinatorics of squarefree polynomials -- 4. Statistics of squarefree polynomials and the cohomology of the pure braid group -- 5. Maximal tori in ... -- References -- A stability conjecture for the unstable cohomology of .... mapping class groups, and... -- 1. Introduction -- 2. Stability in the unstable cohomology of -- 3. Stability in the unstable cohomology of mapping class groups -- 4. Stability in the unstable cohomology of ..... -- References -- The Boardman-Vogt tensor product of operadic bimodules -- Introduction -- 1. Lifting the Boardman-Vogt tensor product -- 2. The algebra of the divided powers functor -- Appendix A. Proofs of Proposition 1.20 and Theorem 1.22 -- References -- Detecting and realising characteristic classes of manifold bundles -- 1. Introduction and statement of results -- 2. Proof of Theorem 1.1 -- 3. Proof of Theorem 1.4 -- 4. Proof of Proposition 1.3 -- References -- Controlled Algebraic -theory, II -- 1. Introduction -- 2. Continuous Control for Filtered Modules -- 3. Continuously Controlled -theory -- 4. The Localization Homotopy Fibration -- 5. Controlled Excision ; Theorems -- References -- More examples of discrete co-compact group actions -- Introduction -- 1. Groups with periodic cohomology -- 2. Homotopy theoretic commutative algebra -- 3. Extended powers and indexed monoidal products -- 4. Equivariant multiplicative closure -- References -- Topology of random simplicial complexes: a survey -- 1. Introduction -- 2. Random graphs -- 3. Random 2-complexes -- 4. Random flag complexes -- 5. Comments -- Acknowledgements -- References -- The definition of a non-commutative toric variety -- 1. Introduction -- 2. Classical Toric Varieties -- 3. Non-commutative Geometry -- 4. Variations on Diffeology -- 5. LVM-theory -- 6. Non-commutative Toric Varieties.