Arithmetic and Geometry of Calabi-Yau Varieties Workshop

Calabi-Yau品种的算术和几何工作坊

• 批准号: 1100007
• 负责人: Radu Laza
• 金额: $ 2.4万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-01 至 2012-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1100007&HistoricalAwards=false
• 关键词: Arithmetic; Geometry; Calabi; Yau; Varieties

Over the past three decades, the geometry of Calabi-Yau varieties has been a central topic in mathematics and physics. The workshop ``Arithmetic and Geometry of Calabi-Yau varieties'' to be held at the Fields Institute (Aug 16-25, 2011) aims to survey the recent developments of the subject with a focus on the interplay of techniques coming from arithmetic and algebraic geometry in the study of Calabi-Yau varieties (esp. Calabi-Yau threefolds and K3 surfaces). Moreover, as a long-term impact, the workshop will explore new directions in the field of Calabi-Yau varieties and related areas (such as hyperkahler varieties). The ten day workshop will be both research and training oriented. Specifically, the first three days will be devoted to introductory lectures for graduate students and postdocs. The second part of the workshop will consist of research talks given by experts in the field. Additionally, the workshop will encourage research activities in small working groups, as well as the mentoring of the graduate students and postdocs by the senior participants. The NSF funding will be used to facilitate the participation of US based mathematicians and physicists to this workshop. Most of the funds will be used for the support of junior participants.

在过去的三十年里，卡拉比-丘的几何形态一直是数学和物理学的中心话题。“Calabi-Yau品种的算术和几何”研讨会将于2011年8月16日至25日在菲尔兹研究所举行，旨在调查该学科的最新发展，重点关注在研究Calabi-Yau品种（特别是Calabi-Yau三倍曲面和K3曲面）中来自算术和代数几何技术的相互作用。此外，作为一个长期的影响，研讨会将探索Calabi-Yau品种和相关领域（如超kahler品种）的新方向。为期十天的研讨会将以研究和培训为导向。具体来说，前三天将专门为研究生和博士后提供介绍性讲座。研讨会的第二部分将由该领域的专家进行研究报告。此外，研讨会将鼓励小型工作组的研究活动，以及资深参与者对研究生和博士后的指导。美国国家科学基金会的资金将用于促进美国数学家和物理学家参加本次研讨会。大部分资金将用于支持初级参与者。