Workshop on Symmetries in Graphs, Maps, and Polytopes 2022

该奖项支持美国研究人员参加2022年7月10日至16日在阿拉斯加费尔班克斯大学举行的2022年图形、地图和多面体对称性研讨会(SIGMAP)。对称性激发了数学中的许多重要问题，从古代柏拉图固体的研究开始。对称离散几何对象，如多面体或图形，有广泛的应用，从了解晶体的结构和病毒的形状，到计算机辅助建模和网络优化。研讨会将汇集来自世界各地的研究人员，讨论离散几何物体对称性研究的最新进展，探索开放问题，形成新的合作，并推进现有的问题。研讨会将讨论的主要主题是对称性，组合和几何，与图形、地图、凸多面体和抽象多面体以及相关的代数和几何结构的研究的关系。这些领域的知名研究人员将向他们的同事介绍最近的工作，促进该领域的知识状态。讲习班的结构将通过积极讨论公开问题和工作会议，促进该领域现有研究人员和新研究人员之间的合作。研讨会和相关研究的结果将通过《离散和应用数学的艺术》特刊进行传播，该特刊的重点是图形、地图和多面体的对称性。有关研讨会的更多信息，包括注册前表格和为美国居民提供旅行支持的机会，可在https://www.alaska.edu/sigmap.This网站上获得，该奖项反映了美国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。

This award supports participation of US-based researchers in the 2022 Workshop on Symmetries in Graphs, Maps, and Polytopes (SIGMAP) held at the University of Alaska Fairbanks July 10-16, 2022. Symmetry has motivated many important questions in mathematics, beginning with the study of the Platonic solids in antiquity. Symmetric discrete geometric objects, such as polyhedra or graphs, have a wide variety of applications, from understanding the structure of crystals and the shapes of viruses, to computer-aided modeling and optimization in networks. The workshop will bring together researchers from all over the world to discuss recent advances in the study of symmetries of discrete geometric objects, explore open problems, form new collaborations, and advance existing ones.The major topic to be addressed at the workshop is the relation of symmetry, both combinatorial and geometric, to the study of graphs, maps, convex and abstract polytopes, and related algebraic and geometric structures. Established researchers in these areas will present recent work to their colleagues, advancing the state of knowledge in the field. The structure of the workshop will facilitate collaborations between current and new researchers in the area through active discussion of open problems and work sessions. Results from the workshop and related research will be disseminated through a special issue of The Art of Discrete and Applied Mathematics focused on Symmetries of Graphs, Maps, and Polytopes. More information about the workshop, including pre-registration forms and opportunities for travel support for US residents, is available at https://www.alaska.edu/sigmap.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.