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Algebraic topology : [electronic resource] 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.

Contributor(s): Tillmann, U. L. (Ulrike Luise), 1962- | Galatius, S�ren, 1976- | Sinha, Dev (Dev Prakash), 1971- | Stanford Symposium on Algebraic Topology: Applications and New Directions (2012 : Stanford, Calif.).

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BookSeries: Contemporary mathematics, v. 620.Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470418557 (online).Subject(s): Algebraic topology -- Congresses | Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra | Category theory; homological algebra -- Categories with structure -- Operads | $K$-theory -- Higher algebraic $K$-theory -- $K$-theory and homology; cyclic homology and cohomology | Algebraic topology -- Fiber spaces and bundles -- Homology of classifying spaces, characteristic classes | Algebraic topology -- Homotopy groups -- Equivariant homotopy groups | Manifolds and cell complexes -- Differential topology -- Topological quantum field theories | Manifolds and cell complexes -- Topological transformation groups -- Finite transformation groups | Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry | Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra | Category theory; homological algebra -- Categories with structure -- Operads | $K$-theory -- Higher algebraic $K$-theory -- $K$-theory and homology; cyclic homology and cohomology | Algebraic topology -- Fiber spaces and bundles -- Homology of classifying spaces, characteristic classes | Algebraic topology -- Homotopy groups -- Equivariant homotopy groups | Manifolds and cell complexes -- Differential topology -- Topological quantum field theories | Manifolds and cell complexes -- Topological transformation groups -- Finite transformation groups | Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometryAdditional physical formats: Algebraic topology :DDC classification: 514/.2 Other classification: 14M25 | 18D50 | 19D55 | 55R40 | 55Q91 | 57R56 | 57S17 | 60D05 | 14M25 | 18D50 | 19D55 | 55R40 | 55Q91 | 57R56 | 57S17 | 60D05 Online resources: Contents | Contents

Contents:

Representation stability in cohomology and asymptotics for families of varieties over finite fields / Thomas Church, Jordan S. Ellenberg and Benson Farb -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12395 A stability conjecture for the unstable cohomology of $\mathrm {SL}_n\mathbb {Z}$, mapping class groups, and $\mathrm {Aut}(F_n)$ / Thomas Church, Benson Farb and Andrew Putman -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12366 The Boardman-Vogt tensor product of operadic bimodules / William Dwyer and Kathryn Hess -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12352 Detecting and realising characteristic classes of manifold bundles / S�ren Galatius and Oscar Randal-Williams -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12365 Controlled Algebraic $G$-theory, II / Boris Goldfarb and Timothy K. Lance -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12364 More examples of discrete co-compact group actions / Ian Hambleton and Erik K. Pedersen -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12363 On the $K$-theory of planar cuspical curves and a new family of polytopes / Lars Hesselholt -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12368 Equivariant multiplicative closure / M. A. Hill and M. J. Hopkins -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12372 Topology of random simplicial complexes: a survey / Matthew Kahle -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12367 The definition of a non-commutative toric variety / Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman and Alberto Verjovsky -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12370 The Stable Symplectic Category and Quantization / Nitu Kitchloo -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12369 A geometric perspective on quantum field theory / Graeme Segal -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12397 Sketches of a platypus: a survey of persistent homology and its algebraic foundations / Mikael Vejdemo-Johansson -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12371 Cartier's first theorem for Witt vectors on $\mathbb {Z}_{\geq 0}^n - 0$ / Kirsten Wickelgren -- http://www.ams.org/conm/620/ http://dx.doi.org/10.1090/conm/620/12396

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Representation stability in cohomology and asymptotics for families of varieties over finite fields / Thomas Church, Jordan S. Ellenberg and Benson Farb -- A stability conjecture for the unstable cohomology of $\mathrm {SL}_n\mathbb {Z}$, mapping class groups, and $\mathrm {Aut}(F_n)$ / Thomas Church, Benson Farb and Andrew Putman -- The Boardman-Vogt tensor product of operadic bimodules / William Dwyer and Kathryn Hess -- Detecting and realising characteristic classes of manifold bundles / S�ren Galatius and Oscar Randal-Williams -- Controlled Algebraic $G$-theory, II / Boris Goldfarb and Timothy K. Lance -- More examples of discrete co-compact group actions / Ian Hambleton and Erik K. Pedersen -- On the $K$-theory of planar cuspical curves and a new family of polytopes / Lars Hesselholt -- Equivariant multiplicative closure / M. A. Hill and M. J. Hopkins -- Topology of random simplicial complexes: a survey / Matthew Kahle -- The definition of a non-commutative toric variety / Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman and Alberto Verjovsky -- The Stable Symplectic Category and Quantization / Nitu Kitchloo -- A geometric perspective on quantum field theory / Graeme Segal -- Sketches of a platypus: a survey of persistent homology and its algebraic foundations / Mikael Vejdemo-Johansson -- Cartier's first theorem for Witt vectors on $\mathbb {Z}_{\geq 0}^n - 0$ / Kirsten Wickelgren --

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12395

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12366

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12352

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12365

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12364

http://www.ams.org/conm/620/

http://dx.doi.org/10.1090/conm/620/12363