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Algebraic Topology: Applications and New Directions

Edited by: Ulrike Tillmann Oxford University, Oxford, United Kingdom
Søren Galatius Stanford University, Stanford, CA
Dev Sinha University of Oregon, Eugene, OR
Available Formats:
Softcover ISBN: 978-0-8218-9474-3
Product Code: CONM/620
List Price: $117.00 MAA Member Price:$105.30
AMS Member Price: $93.60 Electronic ISBN: 978-1-4704-1855-7 Product Code: CONM/620.E List Price:$114.00
MAA Member Price: $102.60 AMS Member Price:$91.20
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List Price: $175.50 MAA Member Price:$157.95
AMS Member Price: $140.40 Click above image for expanded view Algebraic Topology: Applications and New Directions Edited by: Ulrike Tillmann Oxford University, Oxford, United Kingdom Søren Galatius Stanford University, Stanford, CA Dev Sinha University of Oregon, Eugene, OR Available Formats:  Softcover ISBN: 978-0-8218-9474-3 Product Code: CONM/620  List Price:$117.00 MAA Member Price: $105.30 AMS Member Price:$93.60
 Electronic ISBN: 978-1-4704-1855-7 Product Code: CONM/620.E
 List Price: $114.00 MAA Member Price:$102.60 AMS Member Price: $91.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$175.50 MAA Member Price: $157.95 AMS Member Price:$140.40
• Book Details

Contemporary Mathematics
Volume: 6202014; 328 pp
MSC: Primary 14; 18; 19; 55; 57; 60;

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.

Graduate students and research mathematicians interested in algebraic topology and its applications.

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

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Volume: 6202014; 328 pp
MSC: Primary 14; 18; 19; 55; 57; 60;

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.

Graduate students and research mathematicians interested in algebraic topology and its applications.

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