Conference: Center for Mathematics at Notre Dame

会议：圣母大学数学中心

• 批准号: 2312044
• 负责人: Eric Riedl
• 金额: $ 4.92万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-06-01 至 2025-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2312044&HistoricalAwards=false
• 关键词: Conference; Center; Mathematics; Notre; Dame

The Center for Mathematics at the University of Notre Dame will run a 2023 program on Hyperbolicity and Rationality and a 2024 program on Commutative Algebra and its Interaction with Algebraic Geometry and Algebraic Combinatorics. The 2023 program will take place June 12-30, 2023. The first week of will be an undergraduate summer school on topics relating to hyperbolicity and rationality, the second week will be a graduate/postdoc summer school to give new researchers an introduction to this field, and the third week will be an international research conference. The 2024 program will be an international research conference that will take place August 12-19, 2024. The goal of both programs is to allow mathematicians at different levels to engage with these exciting and fast-developing fields. The purpose of the summer schools is to introduce students at various levels to important ideas in algebraic geometry, and more specifically birational geometry, at a deeper level than is usual in their undergraduate or graduate studies. Both conferences will provide ample opportunities for students and researchers at all levels to develop productive professional relationships.In more detail regarding the summer 2023 conference on Hyperbolicity and Rationality, one fundamental motivating question in birational geometry is to understand how positivity or negativity of the canonical bundle impacts the geometry, arithmetic and analysis of varieties. Varieties with very negative canonical bundle are expected to "look like" projective space and varieties with very positive canonical bundle are expected to look very different from projective space. The conference will bring together experts who study both sides of the question: researchers who study how Fano varieties look like (and unlike) projective space, and researchers who study ways that varieties of general type look very different from projective space. More information about the 2023 thematic program is available on the program website: https://sites.nd.edu/2023cmndthematicprogram/. More details about the 2024 conference will be available from the Center for Mathematics at Notre Dame website: https://centerformath.nd.edu/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

圣母大学数学中心将开展 2023 年双曲性和有理性项目以及 2024 年交换代数及其与代数几何和代数组合学的相互作用项目。 2023年项目将于2023年6月12日至30日举行。第一周将是本科生暑期学校，主题涉及双曲性和理性，第二周将是研究生/博士后暑期学校，向新研究人员介绍该领域，第三周将是国际研究会议。 2024年计划将是一次国际研究会议，将于2024年8月12日至19日举行。这两个计划的目标都是让不同级别的数学家参与这些令人兴奋且快速发展的领域。暑期学校的目的是向各个级别的学生介绍代数几何的重要思想，更具体地说是双有理几何，比本科或研究生学习中的通常更深层次。这两场会议都将为各级学生和研究人员提供充足的机会，以发展富有成效的专业关系。更详细地讲，关于 2023 年夏季双曲性和有理性会议，双有理几何中的一个基本激励问题是了解正则丛的正性或负性如何影响簇的几何、算术和分析。具有非常负的正则丛的品种预计“看起来像”射影空间，而具有非常正的正则丛的品种预计看起来与射影空间非常不同。会议将汇集研究问题双方的专家：研究法诺品种如何看起来像（和不像）射影空间的研究人员，以及研究一般类型品种看起来与射影空间非常不同的方式的研究人员。有关 2023 年主题计划的更多信息，请访问计划网站：https://sites.nd.edu/2023cmndthematicprogram/。有关 2024 年会议的更多详细信息，请访问圣母大学数学中心网站：https://centerformath.nd.edu/。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。