代数几何模空间高级研讨班

We propose to organize advanced seminars on moduli theory of algebraic geometry in several years. Those members of this seminar mainly include algebraic geometers in Shanghai and Beijing and some post-doctors and senior PhD students majoring in algebraic geometry. We plan to learn and discuss some attracting and frontier problems in the area of moduli spaces in algebraic geometry so as to raise possible collaboration among domestic algebraic geometers and to train and foster our reserve researchers. We will choose the topics of one specific moduli structure each time and invite some international experts to give seminars and to discuss together for at least two weeks each year. This series of seminars will be organized by our members in turn under the uniform plot. This project is mainly concerned with birational geometry, moduli spaces of varieties, cycles and sheaves, Gromov-Witten invariants, Donaldson-Thomas invariants and the interaction of above fields.

我们计划用几年时间举办代数几何的模空间理论方面的高级研讨班, 研讨班成员主要由上海、北京及其他地区的代数几何工作者、博士后和高年级博士生组成。我们拟学习讨论双有理几何和模空间理论领域一些具有重要影响的前沿问题，加强国内代数几何工作者之间的交流和合作，并以此引导和培养代数几何的后备力量。我们每年选定一个模空间结构作为专题，以讨论班的形式集中活动两周，同时邀请国内外的相关专家讲课或参与研讨。此系列研讨班将由项目组主要成员在统一策划下轮流组织进行。本项目涉及的领域主要包括双有理几何、簇圈层的模空间、Gromov-Witten 和 Donaldson-Thomas 不变量及这些领域的相互作用。

“代数几何高级研讨班”课题组于2014年3月31日至4月3日在上海数学中心举办“K3曲面的几何”研讨班，邀请 Francois Charles（University of Paris-Sud）、.Daniel Huybrechts（University of Bonn）和 Keiji Oguiso （Osaka University）三位国际专家分别作6小时演讲；4月5日至4月6日在上海数学中心举办代数几何学术会议，邀请陈苗芬（华东师大）等9位专家分别做1小时学术报告。参加本年度活动的国内外学者共40人，为期7天。