Conference on Chromatic Homotopy Theory and Related Areas
Conference on Chromatic Homotopy Theory and Related Areas
批准号:
2220741
负责人:
Irina Bobkova
金额:
$1.87万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2022
资助国家:
美国
项目状态:
已结题
起止时间:
2022-07-01 至 2024-06-30
中文摘要
该NSF奖项将于2022年6月7日至10日在瑞典德约肖姆的Mittag-Leffler研究所举行,为美国的与会者提供支持,该会议将于2022年6月7日至10日在瑞典德约肖姆的Mittag-Leffler研究所举行。会议旨在将该领域的顶尖研究人员、博士后和研究生聚集在一起,重点关注女性研究人员的招聘、保留和指导,她们在数学领域形成了一个代表性不足的群体。这次活动将为色同伦理论的研究提供一个切入点,并提供开始合作的机会。这些活动旨在吸引早期职业研究人员进入该领域,并促进指导关系,目标是改善保留和持续成功。色同伦理论是现代代数拓扑学的基石。它是一个概念和计算框架,用于识别和解释稳定同伦群中的大规模周期模式。色同伦理论已经超越了最初的焦点,发展成为一种组织原则,并在代数几何和模表示理论等领域得到了应用。它通过模和自同构形式在稳定同伦理论和数论之间提供了一种直接而神秘的关系。这个研讨会将包括一系列关于色同伦的介绍性讲座,以及关于相邻领域的额外邀请和贡献的讲座,如等变理论和基元同伦理论。详情见http://www.mittag-leffler.se/konferens/ewm-ems-summer school-chromatic-homotopy-theory-and-friends.This奖,该奖项反映了国家科学基金会的法定使命,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
This NSF award provides support for U.S. based participants of the conference “Chromatic Homotopy Theory and Friends", to be held at the Mittag-Leffler Institute, Djursholm, Sweden, during June 7-10, 2022. The meeting aims to bring together leading researchers, postdocs, and graduate students working in the field, with a focus on recruitment, retention and mentoring of women researchers, who form an under-represented group in mathematics. The event would provide an entry point to research in chromatic homotopy theory and opportunity to start collaboration. The activities are designed to attract early career researchers to the field and facilitate mentoring relationships with the goal of improved retention and continued success.Chromatic homotopy theory is a cornerstone in modern algebraic topology. It is a conceptual and computational framework for identifying and explaining large scale periodic patterns in stable homotopy groups. Beyond its original focus, chromatic homotopy theory has grown into an organizational principle with applications in areas such as algebraic geometry and modular representation theory. It provides a direct yet mysterious relationship between stable homotopy theory and number theory through modular and automorphic forms. This workshop will consist of an introductory series of lectures on chromatic homotopy, and additional invited and contributed lectures on adjacent areas, such as equivariant and motivic homotopy theory. Details are available at http://www.mittag-leffler.se/konferens/ewm-ems-summer school-chromatic-homotopy-theory-and-friends.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
CAREER: Decomposition, duality and Picard groups in chromatic homotopy theory
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批准号:2239362
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项目类别:Continuing Grant
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资助金额:$41.27万
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财政年份:2023
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负责人:Irina Bobkova
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依托单位:
South Central Topology Conference
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批准号:2132086
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项目类别:Standard Grant
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资助金额:$1.97万
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财政年份:2021
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负责人:Irina Bobkova
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依托单位:
Picard Groups and Duality in Chromatic Homotopy Theory at the Prime 2.
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批准号:2005627
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项目类别:Standard Grant
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资助金额:$16.6万
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财政年份:2020
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负责人:Irina Bobkova
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依托单位:
海外基金