Algebraic topology : applications and new directions : Stanford Symposium on Algebraic Topology: Applications and New Directions, July 23--27, 2012, Stanford University, Stanford, CA / [electronic resource] Ulrike Tillmann, Soren Galatius, Dev Sinha, editors. - 1 online resource (pages cm.) - Contemporary mathematics, v. 620 0271-4132 (print); 1098-3627 (online); .

Includes bibliographical references.

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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014


Mode of access : World Wide Web

9781470418557 (online)


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 geometry.

QA612.14 / .A44 2014

514/.2