Topics in noncommutative geometry

By Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires

Subjects: Category theory; homological algebra -- Categories with structure -- Operads, Congresses, Group theory and generalizations -- Special aspects of infinite or finite groups -- Word problems, other decision problems, connections with logic and automata, $K$-theory -- Topological $K$-theory -- Equivariant $K$-theory, Geometry, algebraic, Commutative algebra, Geometry, differential, Global analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Noncommutative geometry (à la Connes), Functional analysis, Differential geometry -- Symplectic geometry, contact geometry -- Deformation quantization, star products, $K$-theory -- $K$-theory and operator algebras -- Kasparov theory ($KK$-theory), Algebraic geometry -- Foundations -- Noncommutative algebraic geometry, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative dynamical systems, Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry, $K$-theory -- Topological $K$-theory -- Twisted $K$-theory; differential $K$-theory, Quantum theory

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