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The 2020 Graduate Student Topology and Geometry Conference

The 2020 Graduate Student Topology and Geometry Conference
2020年研究生拓扑与几何会议
批准号:
1953179
负责人:
Dylan Thurston
金额:
$4.2万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2020
资助国家:
美国
项目状态:
已结题
起止时间:
2020-04-01 至 2023-03-31

项目摘要

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中文摘要
翻译
2020年研究生拓扑与几何大会将于2020年4月11日至12日在印第安纳大学布鲁明顿大学举行。这次会议将通过让研究生接触各种研究主题来促进知识的发展,刺激几何和拓扑学领域之间的新合作和联系。此外,它还将为研究生提供一个包容性的空间,让他们展示自己的工作,了解相关领域目前正在进行的研究,并在促进这些互动的环境中与他们的同行和教职员工建立网络。具体地说,新的研究生将第一次体验研究的性质,以及对他们所在机构可能没有涵盖的各种主题的概述。更高级的研究生将介绍正在进行的研究,这将打开在尚未解决的问题上取得进展的大门,促进不同领域之间的桥梁,并可能在年轻数学家之间启动新的合作。此外,讲师还将告知学员各自领域的最新进展情况。此外,大会将为各级研究生提供一个安全和包容的空间,代表和鼓励这些领域中代表性不足的少数群体,并欢迎所有人,不分种族、性别或性取向。大会将有来自全国各地的约200名各级研究生参加。会议将包括:28名研究生就几何/拓扑学的解释性和原创性研究主题进行30分钟的演讲;20名研究生就几何/拓扑学的原创性研究主题进行5分钟的闪电演讲;3名在各自领域都是杰出演讲者的全体演讲者:Ciprian Manolescu(斯坦福大学)几何拓扑学,Sarah Koch(密歇根大学)几何学,Brooke Shipley(伊利诺伊大学芝加哥分校)代数拓扑学;6位年轻的教职员工讲者:Lisa PicCirillo(布兰迪斯大学)、Bahar Acu(西北大学)、Viveka Erlandsson(布里斯托尔大学)、Dami Lee(华盛顿大学)、Sarah Yeakel(马里兰大学)、Inna Zakharevich(康奈尔大学)。这次会议的演讲将涵盖拓扑学和几何学的各个活跃领域,并将针对来自不同领域的研究生。会议围绕三个主要研究领域展开:几何拓扑学、几何学和代数拓扑学。这种结构反映在教师演讲者的选择上。他们的研究领域包括低维拓扑、辛拓扑、接触拓扑、Bers-TeichMuller理论、有理映射、映射类群、极小曲面、复动力学、双曲几何、曲线计数、色同伦理论、等变同伦理论、不动点理论、范畴理论、拓扑模形式和代数K-理论。研究生讲座将进一步涵盖几何学和拓扑学的活跃领域。在过去的几十年里,出现了无数的新发展和专业化。会议将为研究生提供机会,了解当前研究的前沿和相应的公开问题,而这些问题并不代表他们所在机构的教员兴趣。更多细节请参见https://gstgc20.sitehost.iu.edu/This奖项,该奖项反映了国家科学基金会的法定使命,并已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 2020 Graduate Student Topology and Geometry Conference will be held on April 11-12, 2020 at Indiana University Bloomington. This conference will advance knowledge by exposing graduate students to a variety of research topics, stimulating new collaborations and connections between fields in geometry and topology. Furthermore, it will provide an inclusive space for graduate students to present their work, learn about the current research being done in related fields, and network with their peers and faculty members in an environment that fosters these interactions. Specifically, new graduate students will get a first taste of the nature of research, as well as an overview of a variety of topics that might not be covered at their home institutions. More advanced graduate students will present ongoing research, which will open doors towards progress on unsolved problems, foster bridges between different areas and potentially initiate new collaborations among young mathematicians. Additionally, faculty speakers will inform the participants of the current state of progress in their fields. Furthermore, the conference will offer a safe and inclusive space for graduate students of all levels, representing and encouraging under-represented minorities in these fields and welcoming everyone regardless of race, gender, or sexual orientation.The conference will involve about 200 graduate students of all levels from all over the country. The conference will consist of: 28 graduate students giving 30 minute talks on expository and original research topics in geometry/topology; 20 graduate students giving 5 minute lightning talks on original research topics in geometry/topology; 3 plenary speakers who are all prominent in their respective fields and excellent expositors: Ciprian Manolescu (Stanford) in geometric topology, Sarah Koch (University of Michigan) in geometry, and Brooke Shipley (University of Illinois at Chicago) in algebraic topology; 6 young faculty speakers: Lisa Piccirillo (Brandeis University), Bahar Acu (Northwestern University), Viveka Erlandsson (University of Bristol), Dami Lee (University of Washington), Sarah Yeakel (University of Maryland), Inna Zakharevich (Cornell University). The talks in this conference will cover various active fields in topology and geometry and will be aimed at graduate students from a variety of fields. The conference is structured on three main areas of research: geometric topology, geometry, and algebraic topology. This structure is reflected on the choice of faculty speakers. Their research areas include low-dimensional topology, symplectic topology, contact topology, Bers-Teichmuller theory, rational maps, mapping class groups, minimal surfaces, complex dynamics, hyperbolic geometry, curve counting, chromatic homotopy theory, equivariant homotopy theory, fixed point theory, category theory, topological modular forms, and algebraic K-theory. The graduate student talks will cover further active areas of geometry and topology. A myriad of new developments and specializations have emerged within the past few decades. The conference will provide graduate students the opportunity to learn about the frontiers of current research and corresponding open problems that are not represented by faculty interests at their home institutions. More details are available at https://gstgc20.sitehost.iu.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.
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会议论文
Computational and Combinatorial Techniques in Conformal Dynamics
  • 批准号:
    2110143
  • 项目类别:
    Standard Grant
  • 资助金额:
    $24.62万
  • 财政年份:
    2021
  • 负责人:
    Dylan Thurston
  • 依托单位:
REU Site: Research Expericences for Undergraduates in Mathematics at Indiana University
  • 批准号:
    2051032
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $30.98万
  • 财政年份:
    2021
  • 负责人:
    Dylan Thurston
  • 依托单位:
Rubber Bands to Rational Maps
  • 批准号:
    1507244
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $25.46万
  • 财政年份:
    2015
  • 负责人:
    Dylan Thurston
  • 依托单位:
HOMOLOGY THEORIES FOR TANGLES AND BORDERED 3-MANIFOLDS
  • 批准号:
    1358638
  • 项目类别:
    Standard Grant
  • 资助金额:
    $8.82万
  • 财政年份:
    2012
  • 负责人:
    Dylan Thurston
  • 依托单位:
海外基金