SPECIAL TALK ON A^1-HOMOTOPY THEORY AND ITS RECENT DEVELOPMENTS | |

Topic: | The Friedlander-Milnor Conjecture |

Speaker: | Fabien Morel |

Affiliation: | University of Munich and Member, School of Mathematics |

Date: | Tuesday, February 23 |

Time/Room: | 2:00pm - 3:00pm/S-101 |

In this talk I will recall the statement of the Friedlander conjecture on the cohomology of a reductive group G and give a short recollection on known results. I will present a new approach which relies on the study of the A^1 homotopy type of the classifying space of the Suslin-Voevodsky construction on the group G. This approach allows us to prove the first complete cases of semi-simple groups: mainly SL_2 and SL_3. We will explain the basic strategy of the proof of this result and how to potentially extend it to a complete proof of the conjecture.