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.