Algebraic topology : applications and new directions : Stanford Symposium on Algebraic Topology : Applications and New Directions, July 23-27, 2012, Stanford University, Stanford, CA
著者
書誌事項
Algebraic topology : applications and new directions : Stanford Symposium on Algebraic Topology : Applications and New Directions, July 23-27, 2012, Stanford University, Stanford, CA
（Contemporary mathematics, 620）
American Mathematical Society, c2014
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject.
The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic $K$-theory and the theory of operads.
目次
Representation stability in cohomology and asymptotics for families of varieties over finite fields by T. Church, J. S. Ellenberg, and B. Farb A stability conjecture for the unstable cohomology of $\textrm{SL}_n\mathbb{Z}$, mapping class groups, and $\textrm{Aut}(F_n)$ by T. Church, B. Farb, and A. Putman The Boardman-Vogt tensor product of operadic bimodules by W. Dwyer and K. Hess Detecting and realising characteristic classes of manifold bundles by S. Galatius and O. Randal-Williams Controlled algebraic $G$-theory, II by B. Goldfarb and T. K. Lance More examples of discrete co-compact group actions by I. Hambleton and E. K. Pedersen On the $K$-theory of planar cuspical curves and a new family of polytopes by L. Hesselholt Equivariant multiplicative closure by M. A. Hill and M. J. Hopkins Topology of random simplicial complexes: A survey by M. Kahle The definition of a non-commutative toric variety by L. Katzarkov, E. Lupercio, L. Meersseman, and A. Verjovsky The stable symplectic category and quantization by N. Kitchloo A geometric perspective on quantum field theory by G. Segal Sketches of a platypus: A survey of persistent homology and its algebraic foundations by M. Vejdemo-Johansson Cartier's first theorem for Witt vectors on $\mathbb{Z}_{\geq 0}^n - 0$ by K. Wickelgren
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