For more information about this meeting, contact Mary Anne Raymond.

Title: | K-homology and quantization commutes with reduction problem |

Seminar: | GAP Seminar |

Speaker: | Song Yanli, Penn State University |

Abstract Link: | http:// |

Abstract: |

K-homology is the homology theory dual to Atiyah-Hirzebruch K-theory. Following a suggestion of Atiyah, Kasparov gave an analytic definition of K-homology using Fredholm operators. On the other hand, Baum and Douglas gave a geometric definition using spin-c manifolds, bordisms, and so on. Roughly speaking, the isomorphism between the geometrically and analytically-defined K-homology groups can be viewed as a generalization of geometric quantization. In this framework, the quantization commutes with reduction problem can be considered as the construction of a commutative diagram in (equivariant) K-homology. In this talk, I shall carry out the construction in the simplest case, where the group is a circle. This is joint work with Nigel Higson. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 04 / 2011 |

Time: | 02:30pm - 03:20pm |