Algebraic topology : applications and new directions : Stanford Symposium on Algebraic Topology: Applications and New Directions, July 23--27, 2012, Stanford University, Stanford, CA

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.