One-day Workshop on Kaehler Geometry
活动时间： 从 2017-09-23 08:30 到 17:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Gang Tian (Peking University)
Xiaohua Zhu (Peking University)
Bin Zhou (Peking University)
Zhenlei Zhang (Capital Normal University)
Program
Titles and Abstracts:
Speaker: Jingjun Han (Peking University)
Title: Birkar's proof of the BAB conjecture
Abstract: The Borisov-Alexeev-Borisov (BAB) conjecture proved by Birkar last year predicts that \epsilon-lc Fano variety forms a bounded family. In this lecture, I will try to describe some ideas in his proof, including effective birationality of \epsilon-lc Fano variety and a special case of the BAB conjecture.
Speaker: Wenshuai Jiang (Zhejiang University)
Title: The Structure of singular set of noncollapsing Ricci limit spaces
Abstract: Let (M_i^n,g_i,p_i) \to (X,d,p) satisfy Ric>= -(n-1) and Vol(B_1(p_i))>v>0. From Cheeger-Colding theory, for each integer k<n, we know that the stratification S^k={ x\in X: no tangent cone at x splits an R^{k+1} factor } has dimension =<k. In this talk, we will show that S^k is k-rectifiable. We will also discuss the quantitative measure estimate of S^k and some applications. This is joint work with J.Cheeger and A. Naber.
Title: The existence of Kahler-Einstein metrics on K-polystable Q-Fano varieties with non-positive discrepancies
Abstract: I will talk out the recent work with Professor Tian and Chi Li. At first, we extend Tian’s work to the log smooth case. Then for a K-polystable Q-Fano varieties X with non-positive discrepancies, we show that there exists conic KE metrics on the resolution and these metrics converges to the singular KE metric on X.
Speaker: Zhenlei Zhang (Capital Normal University)
Title: Recent development on the Kahler-Ricci flow
Abstract: In this talk I will present a brief discussion of Chen-Wang’s work on Kahler-Ricci flow on Fano manifolds.
