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Western Algebraic Geometry Symposium

Western Algebraic Geometry Symposium
西方代数几何研讨会
批准号:
1946952
负责人:
Renzo Cavalieri
金额:
$18.0万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2019
资助国家:
美国
项目状态:
已结题
起止时间:
2019-11-15 至 2024-10-31

项目摘要

项目成果

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中文摘要
翻译
西方代数几何研讨会(WAGS)是代数几何领域的一系列会议,每两年举行一次。该奖项支持六个WAGS会议,这些会议将于2019年11月2日至3日在犹他大学、2020年春季在波莫纳学院、2020年秋季在斯坦福大学、2021年春季在科罗拉多大学、2021年秋季在华盛顿大学、2022年春季在加州大学洛杉矶分校举行。(虽然前两个地点已经确定,但由于不可预见的情况,地点可能会发生一些变化。)代数几何是数学中的一门中心学科,与现代数学的几乎每个方面都有着深刻而实质性的联系:除了在基础研究中的核心作用外,代数几何最近的几个应用(对机器人、大数据、机器学习、金融数学等)使其对整个社会的贡献更加直接和明显。这一广泛而活跃的领域在美国西部得到了广泛的代表。WAGS的主要目标是促进美国西部代数几何界成员之间的知识和交流;特别注意促进一个公平和包容的环境,在这种环境中,代数几何界的所有成员都可以在追求卓越的数学活动中找到刺激和支持。关于会议系列的信息可以在www.wagsymposum.org上找到。近20年来,WAGS一直是美国西部地区代数几何发展的催化剂。卡西尼、哈肯和麦科南之间的合作导致了最小模型计划的巨大进步,这一合作是通过WAGS的互动而诞生的。在WAGS,伯特伦第一次接触到布里奇兰稳定条件,这现在是他研究活动的一个重要方面。几名年轻的研究人员,包括这项资助的PI,发现了他们的博士论文问题,或者从与WAGS的高级数学家的互动中受益。就业市场上的研究生有机会在WAGS海报会议上展示他们的工作。除了继续已经完成的出色工作,WAGS正在寻求扩大和改进其范围:除了选择优秀的研究人员和传播者作为演讲者,我们努力在代数几何和演讲者的两个领域提供广泛的代表性;除了海报会议,我们还希望引入胶囊演讲和小组讨论,以帮助年轻数学家的发展;特别是,我们正在寻求将会议的第一个下午用于由研究生组织和为研究生组织的一些活动,作为一种方式,让初级数学家在组织负担最小的情况下拥有部分会议的所有权。这一奖项反映了NSF的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
The Western Algebraic Geometry Symposium (WAGS) is a series of biannual conferences in the field of algebraic geometry. This award supports six WAGS conferences which will be held at University of Utah on November 2-3, 2019, at Pomona College in Spring 2020, at Stanford in Fall 2020, at University of Colorado in Spring 2021, at University of Washington in Fall 2021, at UCLA in Spring 2022. (While the first two locations are established, some variation in location may happen as a consequence of unforeseen circumstances.) Algebraic geometry is a central subject in mathematics, with deep and substantial connections to almost every aspect of modern mathematics: besides its central role in fundamental research, several recent applications of algebraic geometry (to robotics, big data, machine learning, financial mathematics etc) have made its contributions to society at large more immediate and visible. This broad and active field is widely represented in the Western United States. The primary goal of WAGS is to foster knowledge and communication among members of the algebraic geometry community in the western part of the United States; particular attention is given to fostering an equitable and inclusive environment where all members of the algebraic geometry community can find stimulus and support in pursing excellence in their mathematical activity. Information about the conference series may be found at www.wagsymposium.org.For almost twenty years WAGS has served as a catalyst for the development of algebraic geometry in the Western region of the United States. The collaboration between Cascini, Hacon and McKernan that lead to massive progress in the minimal model program was born through interactions at WAGS. At WAGS Bertram was first exposed to Bridgeland stability conditions, which are now an important aspect of his research activity. Several young researchers, including the PI of this grant, found their PhD thesis problem or benefited from interactions with senior mathematicians at WAGS. Graduate students on the job market have had the occasion to present their work in WAGS poster sessions. Besides continuing the excellent work that has been done, WAGS is seeking to enlarge and improve its scope: besides selecting excellent researchers and communicators as speakers, we endeavor to give a broad representation of both areas of algebraic geometry and of speakers; besides poster sessions, we want to introduce capsule talks and panels to aid the development of younger mathematicians; in particular we are seeking to devote the first afternoon of the conference to some activity organized by and for graduate students, as a way to give junior mathematician ownership of part of the conference with a minimal organizational burden.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.
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会议论文
Tropical Methods for the Tautological Intersection Theory of the Moduli Spaces of Curves
  • 批准号:
    2100962
  • 项目类别:
    Standard Grant
  • 资助金额:
    $16.5万
  • 财政年份:
    2021
  • 负责人:
    Renzo Cavalieri
  • 依托单位:
Western Algebraic Geometry Symposium
  • 批准号:
    1636713
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $15.0万
  • 财政年份:
    2016
  • 负责人:
    Renzo Cavalieri
  • 依托单位:
FRG: Collaborative Research: Gromov-Witten Theory
  • 批准号:
    1159964
  • 项目类别:
    Standard Grant
  • 资助金额:
    $16.78万
  • 财政年份:
    2012
  • 负责人:
    Renzo Cavalieri
  • 依托单位:
Tautological Intersection Theory on Moduli Spaces
  • 批准号:
    1101549
  • 项目类别:
    Standard Grant
  • 资助金额:
    $11.34万
  • 财政年份:
    2011
  • 负责人:
    Renzo Cavalieri
  • 依托单位:
国内基金
海外基金
同伦和Hodge理论的方法在Algebraic Cycle中的应用
  • 批准号:
    11171234
  • 项目类别:
    面上项目
  • 资助金额:
    40.0万元
  • 批准年份:
    2011
  • 负责人:
    胡文传
  • 依托单位: