代数几何模空间高级研讨班

We propose to organize advanced seminars on moduli theory of algebraic geometr.y in several years. Those members of this seminar mainly include algebraic geo.meters in Shanghai and Beijing and some post-doctors and senior PhD students m.ajoring in algebraic geometry. We plan to learn and discuss some attracting an.d frontier problems in the area of moduli spaces in algebraic geometry so as t.o 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 semi.nars 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. Thi.s project is mainly concerned with birational geometry, moduli spaces of varie.ties, cycles and sheaves, Gromov-Witten invariants, Donaldson-Thomas invariant.s 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。

此次天元高级研讨班的主题是perverse sheaves, mixed Hodge modules, D-modules. 主讲人为Donu Arapura, Xinwen Zhu, Zhiwei Yun. 之后还有一个短期的报告会议，邀请报告人为 D. Arapura, 李志远， 谈胜利， 陈猛，陈伊凡，李思， 袁瑶，许晨阳。此次会议参会者逾60人，取得了预期的效果。