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K-theory, K-homology, and duality

QMAP Seminar

Speaker: Jerry Kaminker
Location: 3240 MSB
Start time: Fri, Feb 1 2008, 3:10PM

K-theory, and its dual homology theory called K-homology, have definitions in terms of elliptic operators. Various dualities between them have concrete expressions in this setting. This has led to notions like twisted K-theory and to K-theoretic formulations of T-duality. This talk will try to present the basic ideas and to show how the applications are obtained.