Reflections on Geometry: 3-Manifolds, Groups, and Singularities

为期五天的“几何反思：3——流形、群和奇点”国际会议将于2020年6月8日至12日在纽约市哥伦比亚大学举行。会议的三个主要议题的研究以惊人的速度进行，在众多的方向，并使用不同的研究和应用方法。当前和未来研究的许多令人兴奋的可能性存在于这些领域的界面，在数学和物理的其他子领域具有重要的潜在应用。本次会议的主要目的是为一个综合性的会议提供一个单一的论坛，这将为不同学科的这些蓬勃发展的研究方向和方法的交叉施肥创造许多机会。本次会议将重点关注突出这些领域之间联系的新发展，并帮助创造新的合作途径。所有与会者都将受益于本次会议的不同寻常的广度，并有机会看到首次出现在不同研究领域的主题之间的联系。研究生和初级研究人员将特别受益于与杰出的研究人员会面，获得观点，了解当前的发展，为进一步的研究设定目标，并探索数学在不同领域的应用。有关会议的更多细节可在http://math.columbia.edu/~walterfest/walterfest2020/index.html.This上获得。奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

A five-day international conference entitled "Reflections on Geometry: 3--Manifolds, Groups and Singularities" is to be held at Columbia University in New York City on June 8-12, 2020. Research on the three main topics of the conference has proceeded at a remarkable pace, in a multitude of directions, and using diverse methods of study and application. Many exciting possibilities for current and future research lie at the interface of these areas, with important potential applications in other subfields of mathematics and physics. The main objective of this conference is to provide a single forum for a comprehensive meeting, which will create many opportunities for cross-fertilization of these blossoming research directions and methods across diverse disciplines.This conference will focus on new developments that highlight connections between these fields, and help create new avenues for collaboration. All conference participants will benefit from the unusual breadth of this conference, and the opportunity to see connections between topics that first appeared in distinct research fields. Graduate students and junior researchers will especially benefit by meeting distinguished researchers, gaining perspective, learning the current developments, setting goals for further research, and exploring applications to different fields of mathematics. More details about the conference are available at http://math.columbia.edu/~walterfest/walterfest2020/index.html.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.