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Algebraic topology: applications and new directions / [edited by] Ulrike Tillmann, Soren Galatius and Dev Sinha.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 620.Publication details: Providence : American Mathematical Society, c2014.Description: xvii, 328 p. : ill. ; 26 cmISBN:
  • 9780821894743 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 135791
Total holds: 0

Includes bibliographical references.

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.

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.

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