会议通知---第二次青年几何分析小组会议

为了加强青年几何分析学者之间的交流和促进彼此的合作，我们邀请了来自国内三所著名高校的青年几何分析学者到ダファベット 入金不要，于2016年11月25日上午在中国人民大学信息楼0343召开为期半天的小组会议。欢迎有兴趣的师生参加！

此次会议不收取注册费，鉴于财力，食宿自理。

ダファベット 入金不要

邀请人：数学系 朱晓宝

Email: zhuxiaobao@amss.ac.cn

会议安排

第一个报告：戴嵩（天津大学）

Time: 8:30~9:30

Place: 0343 room, Xinxi Building, RUC

Title: Minimal surfaces for Hitchin representations

Abstract: In this talk, I will introduce our recent work "Minimal surfaces for Hitchin representations", joint with Qiongling Li. Hitchin component is a generalization of Teichmuller space, which is a component in the space of the representations of the fundamental group. There is a bijection between the moduli space of representations and the moduli space of the Higgs bundles. A representation gives a harmonic map from the Poincare disc to the symmetric space SL(n,C)/SU(n). Under certain assumption, the harmonic map is minimal. In our paper, we consider two specific families in Hitchin component. We discover some new results on the corresponding minimal immersions.

第二个报告：张世金（北京航空航天大学）

Time: 9:35~10:35

Place: 0343 room, Xinxi Building, RUC

Title: Liouville-type theorems on the complete gradient shrinking Ricci solitons

Abstract: In this talk, we will talk about that there does not exist non-constant positive $f$-harmonic function on the complete gradient shrinking Ricci solitons and $L^{p}$ ($p\geq 1$ or $0

第三个报告：周斌（北京大学）

Time: 10:40~11:40

Place: 0343 room, Xinxi Building, RUC

Title: Variational solutions to extremal metrics on toric manifolds.

Abstract: The K-energy functional arose from the study of the existence of Calabi’s extremal metrics on Kahler manifolds. On toric manifolds, a reduced K-energy was first obtained by Donaldson, which is a Monge-Ampere type functional on the space of convex functions. In this talk, we discuss the existence, uniqueness and regularity of the minimizers of the reduced K-energy by a variational approach.