Special Meeting: Discrete Geometry and Applications

多伦多的菲尔德研究所将于2011年7月至12月主办并资助一个关于离散几何及其应用的主题项目(400,000加元)。该项目将为两名博士后参与者和一名研究生提供菲尔兹主题方案的支持。该计划的目标是促进对离散几何及其与数学的其他部分的关系的理解，包括圆盘的填充和覆盖、球形圆盘的可扩展重新配置、可见性问题、优化问题、代数几何、拓扑、排列、多面体、局部和全局的刚性理论、刚性和对称性、几何概率理论、凸性以及与结构稳定性、计算几何、计算拓扑、计算结构生物学、编码问题和实体建模相关的工程问题。共同的主线是几何所扮演的角色，以及几何观点如何为理解离散结构提供至关重要的、通常是关键的洞察。项目组织者安排了三个大约为期一周的焦点研讨会，以及Coxeter讲座系列和杰出讲座系列。此外，在2011年7月和8月期间，菲尔兹研究所将赞助一项计划，本着本科生研究经验(REU)的精神，向本科生介绍本学期剩余时间将学习的许多科目。研究生课程也将提供给将在本学期参加的学生。大量高级和初级研究人员以及博士后研究员将长期留在该项目中：其他人将进行短期访问。该项目利用离散几何中几个相关领域的快速发展，并在一个对他们的互动和共同成长有利的时期推出。经验丰富和备受尊敬的数学家、有前途的年轻博士后研究员和研究生将拥有多样性、创造力和精力，在未来许多年里对离散几何及其许多应用产生重大影响。这笔赠款通过提供旅费和生活费来支持两名初级美国研究人员和一名研究生的培训，使他们能够参与该项目。与会者将体验广泛的活动，包括讲习班、杰出讲师系列、专门课程和面向普通受众的课程、那里的人们的日常互动，所有这些都与顶尖研究人员联系起来，为初级研究人员和非专业人员提供指导和方向，为所有人提供协同和兴奋。在菲尔兹研究所董事会的指导和监督下，组织者的优先事项是使合格的学生、初级研究人员、妇女、少数群体、残疾人和代表性不足的群体能够参与和融入。此外，在外地研究所基础设施的帮助下，拟议的活动将在国际上广泛传播。

The Fields Institute in Toronto will host and fund ($400,000 CAN) a Thematic Program on Discrete Geometry and its Applications, July-December 2011. This project shall provide support for two postdoctoral participants and a graduate student to the Fields thematic program. The goal of the program is to advance the understanding of discrete geometry and its relation to other parts of mathematics including packings and coverings of disks, expansive reconfigurations of spherical disks, visibility problems, optimization problems, algebraic geometry, topology, arrangements, polytopes, rigidity theory both local and global, rigidity and symmetry, geometric probability theory, and convexity as well as engineering problems related to the stability of structures, computational geometry, computational topology, computational structural biology, coding problems, and solid modeling to name a few. The common thread is the role that geometry plays and how a geometric viewpoint provides vital, often the critical insight, into the understanding of discrete structures. The program organizers have scheduled three roughly one-week focus workshops along with a Coxeter Lecture series and a Distinguished Lecture series. In addition, during July and August 2011, the Fields Institute will sponsor a program to introduce undergraduates, in the spirit of the Research Experiences for Undergraduates (REU), to many of the subjects that will be studied during the rest of the semester. Graduate courses will also be offered for students who will be attending during the semester. Significant numbers of senior and junior researchers and postdoctoral fellows will reside long-term with the program: others will make shorter visits.This program capitalizes on the rapid development of several related areas in discrete geometry and comes at a time that is excellent for their interaction and common growth. The experienced and highly respected mathematicians, promising younger postdoctoral fellows and graduate students will have the diversity, creativity, and energy to make a significant impact on discrete geometry and its many applications for many years to come. This grant supports the training of two junior U.S. researchers and a graduate student by providing travel support and living expenses, making it possible for them to participate in the program. The participants will experience a wide range of activities including workshops, distinguished lecturer series, courses both specialized and for a general audience, day-to-day interactions for the people there, all connected with top researchers to provide guidance and direction for junior researchers and nonspecialists to provide synergy and excitement for all. The organizers, guided and overseen by the directorate of the Fields Institute will have a priority of making possible the participation and inclusion of qualified students, junior researchers, women, minorities, people with disabilities and under-represented groups. In addition, with the help of the Fields Institute infrastructure, the proposed activities will be communicated widely internationally.