Aspects of Moduli Theory: workshop and conference at the de Giorgi center, June 2008

模数理论的各个方面：de Giorgi 中心的研讨会和会议，2008 年 6 月

• 批准号: 0752993
• 负责人: Dan Abramovich
• 金额: $ 4.59万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-01 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0752993&HistoricalAwards=false
• 关键词: Aspects; Moduli; Theory; workshop; conference

Moduli theory is one of the central parts of algebraic geometry, cantered around the phenomenon that in many cases objects of algebraic geometry (for instance algebraic curves) are parametrized by an object of algebraic geometry (such a sthe moduli space of curves). The past 15 years have witnessed an explosion of activity in this area. It interacts extensively with other area: besides the rest of algebraic geometry, it has very important intersections with complex analysis, symplectic geometry, string theory, homotopy theory, geometric topology.A workshop and conference titled ``Aspects of Moduli Theory'' is organized, to be held June 15-28 at the de Giorgi Center in Pisa, Italy. This activity is meant to offer a wide view of many aspects of the field. It will be split into two parts. The first week will consist of a summer school, in which high level experts will teach five courses on recent and very important advances in the subject. During the first part of each course he teacher will present the necessary background material, making it accessible to graduate students and beginning researchers. During the second week a regular conference will take place.The program aims to impact a considerable number of advanced graduate students and post-doctoral fellows who will attend this program.

模理论是代数几何的核心部分之一，它围绕着这样一种现象：在许多情况下，代数几何对象（例如代数曲线）被代数几何对象（例如曲线的模空间）参数化。过去 15 年见证了该领域活动的爆炸式增长。它与其他领域有广泛的互动：除了代数几何的其余部分外，它还与复分析、辛几何、弦理论、同伦理论、几何拓扑有非常重要的交叉。组织了题为“模理论的方面”的研讨会和会议，将于 6 月 15 日至 28 日在意大利比萨德乔治中心举行。这项活动旨在提供对该领域许多方面的广阔视野。它将分为两部分。第一周将包括暑期学校，高级专家将教授五门课程，介绍该学科的最新和非常重要的进展。在每门课程的第一部分，他的老师将介绍必要的背景材料，以便研究生和初级研究人员能够理解。第二周将举行例行会议。该项目旨在影响大量参加该项目的高级研究生和博士后。