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

Title: | Surgery for amateurs |

Seminar: | Noncommutative Geometry Seminar |

Speaker: | John Roe, Penn State |

Abstract: |

Dear Colleagues,
This is a reminder of the NCG seminar tomorrow. We are focusing on properties of the eta invariant as expressed in the papers "From surgery to analysis I, II, III" and "K-homology, assembly and rigidity theorems for relative eta invariants". All these papers are by Nigel and me and are available from Nigel's web-site at http://www.math.psu.edu/higson/ResearchPapers.html
Tomorrow, as the first talk in the series, I will give an exposition of topological surgery theory under the title "Surgery for amateurs". Surgery is a geometrical-algebraic construction developed by topologists (Browder, Novikov, Sullivan, Wall) in the 1960s to answer fundamental questions about manifolds (example: how many distinct differentiable structures are there on the 7-sphere? Answer: 28) A central idea of the above papers is an exact sequence (in C*-algebra K-theory) which gives an analytic counterpart to the topological ideas of surgery theory. To understand the construction, one needs in particular to understand its domain, topological surgery, and that is what I shall talk about tomorrow. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 01 / 21 / 2010 |

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