Triangle Lectures in Combinatorics

组合学是数学中一个不断发展和重要的领域。北卡罗来纳州、弗吉尼亚州、南卡罗来纳州、肯塔基州和田纳西州最近涌入了组合学和邻近地区的研究力量。特别是，相当多的终身教职组合学家(包括几名来自代表不足的群体的人)目前在距离北卡罗来纳州研究三角地区约5-6小时车程的多所学院和大学工作。该提案支持在三角地带每学期举行一次为期一天的关于组合主题的会议，目的是促进地理区域研究人员之间的定期联系。每一次会议都将有来自全国各地的四位杰出的数学家发表关于组合学中一些最重要的前沿发展的演讲。组合学的重点是离散(而不是连续)对象集合的结构。组合数学对数学的许多领域都很重要，在计算、科学和工程应用中发挥着关键作用。拟议的会议将：通过创建和加强区域互动研究人员网络，加强国家研究和教育基础设施；促进尖端研究思想、方法和成果在美国东南部大部分地区的研究人员中的传播；通过让研究生和博士后学者接触主要研究人员的观点，促进他们的教学和培训；支持各学校的年轻教师发展，帮助他们建立当地的支持和研究网络；以及扩大代表不足的群体，特别是女性的参与。

ABSTRACTCombinatorics is a growing and important area of mathematics. The states of North Carolina, Virginia, South Carolina, Kentucky and Tennessee have recently seen an influx of research strength in combinatorics and adjacent areas. In particular, a remarkably large number of tenure-track combinatorialists (including several from underrepresented groups) currently work at various colleges and universities within about 5-6 hours drive of the Research Triangle area of North Carolina. The proposal supports one-day conferences, on combinatorial themes, to be held in the Triangle once a semester, with the aim of fostering regular contact between researchers in the geographic region. Each conference will bring four outstanding mathematicians from around the country to give talks about some of the most significant cutting-edge developments in combinatorics.The focus of combinatorics is the structure of discrete (as opposed to continuous) sets of objects. Combinatorics is critical to many areas of mathematics, and plays a key role in computational, scientific, and engineering applications. The proposed conferences will: enhance the national infrastructure for research and education by creating and strengthening a regional network of interacting researchers; facilitate the dissemination of cutting-edge research ideas, methods and results among researchers in a large portion of the Southeastern U.S.; promote the teaching and training of graduate students and postdoctoral scholars by exposing them to the perspectives of leading researchers; support the development of young faculty at various schools and help them build local support and research networks; and broaden participation of underrepresented groups, particularly women.