报告一:Hitchin-Thorpe inequality for 4-dimensional compact Ricci solitons
报告人:周德堂 (巴西Fluminense联邦大学)
时间:2023年8月11日9:00-10:00
地点:苏州大学天赐庄校庆本部维格堂319
摘要:The Hitchin-Thorpe inequality gives a relation which restricts the topology of 4-manifolds that carry an Einstein metric. It is an open question whether it holds for Ricci shrinkers. In this talk, I will discuss four dimensional Ricci shrinkers and present some partial answers to this question. This is a joint work with Cheng and Ribeiro.
报告二:Semiclassical oscillating functions of isotropic type and their applications
报告人:王作勤 (中国科学技术大学)
时间:2023年8月11日10:30-11:30
地点:苏州大学天赐庄校庆本部维格堂319
摘要:Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillating functions to isotropic submanifolds in cotangent bundle, and show that these classes are invariant under the action of general Fourier integral operators (modulo the usual clean intersection condition). I will also discuss some special classes (coherent states, Hermite states) and their applications. The talk is based on joint works with V. Guillemin (MIT) and A. Uribe (U. Michigan).
报告三:On Chern-minimal surfaces in Hermitian surfaces
报告人:许小卫 (中国科学技术大学)
时间:2023年8月11日14:30-15:20
地点:苏州大学天赐庄校庆本部维格堂319
摘要:In the1980s, S. Webster founded two beautiful formulae, which involve the geometry and topology of minimal surfaces in Kahler surfaces. Later, J. G. Wolfson gave some deep applications of these formulae in the theory of minimal surfaces. In this talk we develop the theory of S. Webster and J. G. Wolfson to the Chern-minimal surfaces in Hermitian surfaces.
报告四:Donaldson question for tamed closed almost complex four-manifolds
报告人:朱鹏 (江苏理工学院)
时间:2023年8月11日15:40-16:30
地点:苏州大学天赐庄校庆本部维格堂319
摘要:In this talk, I will discuss Donaldson question for tamed closed almost complex four-manifolds and the related topics.
报告五:On closed almost complex four manifolds
报告人:王侃 (复旦大学)
时间:2023年8月11日16:40-17:30
地点:苏州大学天赐庄校庆本部维格堂319
摘要:By using weakly $\widetilde{\mathcal{D}}^+_J$ (resp. $\mathcal{D}^+_J$)-closed technique firstly introduced by Tan, Wang, Zhou and Zhu, we give a characterization of tamed and weakened tamed four-manifolds, and an almost Kaehler version of Nakai-Moishezon criterion for almost complex four-manifolds.
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会议组织者:张影、王奎