Workshop on Perfectoid Spaces

August 6–10, 2012

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

Organized by Yichao Tian and Weizhe Zheng

Overview

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.

Speakers

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)

Schedule

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