Algebraic Topology: Applications and New Directions

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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  -theory and the theory of operads.

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