Conference Proposal:Summer School on Aspects of Geometric Group Theory

2019年7月8日至19日，将在法国Bures-Sur-Yvette的高级科学学院举办一个名为“几何群论方面”的暑期班。这个暑期班的特色是一批杰出的几何学家和几何群论家，他们因其卓越的数学能力和出色的解释技能而被选中。暑期班将吸引来自世界各地的有才华的早期职业数学家。这个项目的支持将使美国的研究生和博士后助理教授在他们职业发展的早期阶段接触到广泛的几何群论主题，并促进与讲师和其他研究生的智力关系，这将使学生在整个职业生涯中受益。这些关系将对美国和欧洲几何群论中的数学界之间的互动产生长期的积极影响。组委会和主要研究人员致力于资助一群不同的数学家。几何群论致力于探索群的代数性质与其作用的空间的拓扑和几何性质之间的联系。几何群论与低维拓扑、双曲几何、李群和齐次空间、代数拓扑、计算群论和微分几何密切相关。它还与复杂性理论、数理逻辑、动力系统、概率论、K理论和其他数学领域有实质性的联系。几何群论是一个非常广泛的领域，这个项目将集中在群作用的几何方面，例如，对树、曲线复合体、立方体复合体的作用，以及几何、拓扑和动力学中出现的离散群。有关会议的更多信息，请访问：https://indico.math.cnrs.fr/event/3784/overviewThis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。

A summer school "Aspects of Geometric Group Theory" will be held July 8-19, 2019, at Institut des Hautes Etudes Scientifiques in Bures-sur-Yvette, France. This summer school features a distinguished collection of geometers and geometric group theorists who have been chosen both for their mathematical excellence and their outstanding expository skills. The summer school will attract talented early career mathematicians from around the world. The support from this project shall expose US-based graduate students and postdoctoral assistant professors to a broad spectrum of topics in geometric group theory at an early stage of their career development and to foster intellectual relationships, both with the lecturers and with other graduate students, which will benefit the students throughout their careers. These relationships will have a long-term positive impact on the interactions between the mathematical communities in geometric group theory in the U.S. and Europe. The organizing committee and the principal investigators are committed to funding a diverse group of mathematicians.Geometric group theory is devoted to exploring connections between algebraic properties of groups and topological and geometric properties of the spaces on which they act. Geometric group theory closely interacts with low dimensional topology, hyperbolic geometry, Lie groups and homogeneous spaces, algebraic topology, computational group theory, and differential geometry. There are also substantial connections with complexity theory, mathematical logic, dynamical systems, probability theory, K-theory, and other areas of mathematics. Geometric group theory is a very broad area, and this project shall focus on geometrical aspects of group actions, for example, actions on trees, curve complexes, cube complexes, and discrete groups arising in geometry, topology and dynamics. More information about the conference can be found at: https://indico.math.cnrs.fr/event/3784/overviewThis 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.