For more information about this meeting, contact Mathieu Stienon, Ping Xu, Nigel Higson.

Title: | CYCLES, COCYCLES, AND BICYCLES I |

Seminar: | GAP Seminar |

Speaker: | Paul Baum, Penn State University |

Abstract: |

K-homology is the dual theory to K-theory. In algebraic geometry, the K-homology of an algebraic
variety X is the Grothendieck group of coherent algebraic sheaves on X. In topology, K-homology
is the homology theory determined by the Bott spectrum. These talks will develop a definition of
K-homology based K-cycles. The point will be made that all features of K-homology are then clearly
evident. In particular, a slight modification of the basic definition yields bicycles (i.e. bivariant cycles)
and thus produces bivariant K-theory. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 09 / 21 / 2010 |

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