**August 6–10, 2012**

Room 610, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing

Organized by Yichao Tian and Weizhe Zheng

The goal of this workshop is to understand Peter Scholze's perfectoid spaces and their application to the weight-monodromy conjecture. The main reference is Scholze's paper Perfectoid spaces, to appear in *Publ. Math. Inst. Hautes Études Sci.*

Miaofen Chen | (Technische Universität München) |

Yongquan Hu | (Université de Rennes 1) |

Ye Tian | (Morningside Center of Mathematics) |

Yichao Tian | (Morningside Center of Mathematics) |

Jilong Tong | (Université de Bordeaux 1) |

Shanwen Wang | (Università degli Studi di Padova) |

Weizhe Zheng | (Morningside Center of Mathematics) |

10 am – noon | 2 pm – 4 pm | |
---|---|---|

Monday, August 6 | Yichao Tian Introduction |
Shanwen Wang Weight-monodromy conjecture in equal characteristic |

Tuesday, August 7 | Miaofen Chen Huber's adic spaces |
Yongquan Hu Perfectoid fields and Almost mathematics |

Wednesday, August 8 | Ye Tian Perfectoid algebras |
Jilong Tong Perfectoid spaces: analytic topology |

Thursday, August 9 | Weizhe Zheng Perfectoid spaces: étale topology |
Weizhe Zheng Toric varieties |

Friday, August 10 | Yichao Tian Weight-monodromy conjecture for complete intersection in toric varieties |