September 7 |
Mike Hill (UVa) |
Adams Spectral Sequence for ko, tmf, & eo_{p-1} |

September 14 |
Nick Kuhn (UVa) |
Introduction to the Telescope Conjecture |

September 21 |
Michael Ching (JHU) |
Chain Rule for Goodwillie Derivatives |

September 28 |
Jacob Lurie (Harvard) |
Equivariant Cohomology via Algebraic Groups
I will explain how the study of group schemes in derived algebraic geometry leads naturally to the construction of equivariant cohomology theories. In particular, I will sketch a purely algebraic construction of equivariant K-theory and provide an interpretation of Snaith's theorem, which relates complex K-theory to the suspension spectrum of CP^{infty}. |

October 5 |
Nick Kuhn (UVa) |
Introduction to the Telescope Conjecture II |

October 12 |
Kai-Uwe Bux (UVa) |
Connectivity of Spheres and Horospheres in Euclidean Buildings
Let $X$ be a Euclidean building of dimension $m$. The Tits-Solomon theorem implies that metric spheres of small diameter are $(m-1)$-spherical. We show that this generalizes to metric spheres of arbitrary size. If $X$ is irreducible, we want to show that horospheres are also $(m-2)$-connected, and we may already have a proof. This is joint with Kevin Wortman (Yale). |

October 19 |
Mike Hill (UVa) |
Computing THH of ku |

October 26 |
Nik Saveliev (U of Miami) |
End-Periodic Dirac Operators and Applications to Topology |

November 2 |
Nick Kuhn (UVa) |
Central Detection Numbers in Group Cohomology |

November 9 |
Nick Kuhn (UVa) |
Central Detection Numbers is Group Cohomology II |

November 16 |
Stefan Schwede (Bonn / MIT) |
On the Homotopy Groups of Symmetric Spectra |

November 23 |
No Seminar |
Thanksgiving |

November 30 |
Brendan Owens |
Knots, Crossing Changes, and Heegaard Floer Homology |

December 7 |
Bob Stong (UVa) |
SU(n)/SO(n): Landweber's manifolds Bob's Notes |