Conference Proposal: Developments in Algebraic Geometry

会议提案：代数几何的发展

• 批准号: 0710847
• 负责人: Ching-Li Chai
• 金额: $ 2.5万
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-06-01 至 2011-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0710847&HistoricalAwards=false
• 关键词: Conference; Proposal; Developments; Algebraic; Geometry

This is a proposal for a one-day conference on algebraic geometry, to be held at Brown University, Providence, RI, on June 2, 2007.It will focus on the current, exciting developments in mathematics whose origin goes back to the work of David Mumford. It is expected that 80-120 participants will attend the conference, including 45-60 postdocs and graduate students. Some participants of a workshop on vision and neuroscience in honor of David Mumford, at Newport, RI on June 1, 2007, will also attend the conference.Mumford's work helped shape a huge swath of algebraic geometry. There are many broad fields which remain dominated by his influence to this very day.There will be five colloquium-style lectures in this conference, each giving an account of our present state of understanding in one area of algebraic geometry, and present the fascinating open problems that remain.The five speakers and their topics are:(i) V. Alexeev (University of Georgia): geometric invariant theory, stability of algebraic varieties, stability of vector bundles.(ii) I. Krichever (Columbia University): characterization of Jacobian varieties among abelian varieties (the Schottky problem).(iii) M. Rapoport (University of Bonn): moduli of abelian varieties and p-divisible groups.(iv) V. Shokurov (Johns Hopkins University): the classification of higher dimensional algebraic varieties, and the finite generation of the canonical ring.(v) U. Tillmann (Oxford University): the topology of the moduli space of curves.By bringing together people who work in diverse areas, as well as graduate students and early-career researchers, we hope to promote progress and innovation in these important fields. Considerable broader impact is expected:the conference will provide a forum for young researchers to discuss their work with senior scientists, and for pure mathematicians to exchange ideas with vision scientists.This conference is also supported by the Clay Mathematics Institute.

这是一个为期一天的代数几何会议的建议，将于2007年6月2日在布朗大学，普罗维登斯，RI举行。它将集中在当前，令人兴奋的发展数学的起源可以追溯到工作的大卫芒福德。预计将有80-120人参加会议，其中包括45-60名博士后和研究生。2007年6月1日在国际扶轮纽波特举行的以大卫芒福德为荣誉的视觉和神经科学研讨会的一些与会者也将参加这次会议。芒福德的工作帮助形成了一个巨大的代数几何。有许多广泛的领域，仍然由他的影响力占主导地位的这一天。将有五个座谈会式的讲座，在这次会议上，每一个给我们的理解在一个领域的代数几何的现状帐户，并提出迷人的开放问题仍然存在。五个发言者和他们的主题是：（i）V.阿列克谢耶夫（格鲁吉亚大学）：几何不变量理论，代数簇的稳定性，向量丛的稳定性。(ii)I. Krichever（哥伦比亚大学）：阿贝尔簇中雅可比簇的特征（肖特基问题）。(iii)M. Rapoport（波恩大学）：阿贝尔簇和p-可除群的模。(iv)肖库罗夫（约翰霍普金斯大学）：高维代数簇的分类，以及规范环的有限生成。(v)联合蒂尔曼（牛津大学）：曲线的模空间的拓扑。通过汇集在不同领域工作的人，以及研究生和早期职业研究人员，我们希望促进这些重要领域的进步和创新。预计将产生相当广泛的影响：会议将为年轻研究人员提供一个论坛，与资深科学家讨论他们的工作，并为纯数学家与视觉科学家交换意见。本次会议也得到了克莱数学研究所的支持。