Noncommutative geometry and global analysis
Noncommutative geometry and global analysis2011
Details
- First published
- 2011
- OL Work ID
- OL16141856W
Subjects
Global analysis (Mathematics)CongressesCommutative ringsNoncommutative algebrasTopological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations. $2 mscAssociative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications$K$-theory -- $K$-theory and operator algebras -- Index theoryGlobal analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Noncommutative geometry (áa la Connes). $2 mscGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Noncommutative global analysis, noncommutative residues. $2 mscCommutative algebra -- Arithmetic rings and other special rings -- Witt vectors and related ringsDifferential geometry -- Global differential geometry -- Rigidity results. $2 mscAssociative rings and algebras -- Homological methods -- (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.).Algebraic geometry -- Local theory -- Singularities$K$-theory -- Higher algebraic $K$-theory -- $K$-theory and homology; cyclic homology and cohomologyTopological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representationsGlobal analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Noncommutative geometry (à la Connes)Differential geometry -- Global differential geometry -- Rigidity resultsGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Noncommutative global analysis, noncommutative residues