This quantity comprises the complaints of the Stanford Symposium on Algebraic Topology: functions and New instructions, held from July 23-27, 2012, at Stanford collage, Stanford, California. The symposium used to be held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their sixtieth and seventieth birthdays that 12 months. It showcased present learn in Algebraic Topology reflecting the celebrants' vast pursuits and profound effect at the topic. the themes assorted largely from solid equivariant homotopy idea to chronic homology and alertness in information research, overlaying topological features of quantum physics equivalent to string topology and geometric quantization, interpreting homology balance in algebraic and geometric contexts, together with algebraic $K$-theory and the idea of operads.
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