The Rocky Mountain-Great Plains Graduate Research Workshop in Combinatorics, July 27 - August 9, 2014

落基山-大平原组合学研究生研究研讨会，2014 年 7 月 27 日至 8 月 9 日

• 批准号: 1427526
• 负责人: Michael Ferrara
• 金额: $ 2.4万
• 依托单位: University of Colorado at Denver
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-05-01 至 2015-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1427526&HistoricalAwards=false
• 关键词: Rocky; Mountain; Great; Plains; Graduate

Combinatorics is a growing and important area of mathematics. 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. In part due to the legacy of Paul Erdos, combinatorics is a research field driven by collaboration. In order to provide graduate students in combinatorics a collaborative research opportunity and nurture long-lasting research collaborations, we will organize the Rocky Mountain-Great Plains Workshop Graduate Research Workshop in Combinatorics. This award will support the Rocky Mountain-Great Plains Workshop Graduate Research Workshop in Combinatorics (GRWC), which will be held in Denver, CO from July 28th-August 8th, 2014, will involve approximately 30 graduate students, 4 postdoctoral researchers and 10 faculty in an intense two-week collaborative research experience. Participants will work to solve important, relevant problems from graph theory, enumeration, combinatorial matrix theory, finite geometry and other modern sub-disciplines of combinatorics. Students will prepare open problems prior to the workshop under the guidance of a faculty mentor from the organizing committee, which consists of faculty from the University of Colorado Denver, University of Denver, Iowa State University, the University of Wyoming and the University of Nebraska Lincoln. These problems will then either be presented at the workshop by their proposers or hosted on the workshop's secure problem wiki, and will be worked on by small groups of participating students, postdocs and faculty. For more information about the GRWC, including a detailed description of the workshop format please see the workshop website at http://sites.google.com/site/rmgpgrwc .

组合数学是数学中一个不断发展的重要领域。组合学的重点是离散（与连续相反）对象集的结构。组合数学对数学的许多领域都至关重要，在计算、科学和工程应用中起着关键作用。部分由于保罗·鄂尔多斯的遗产，组合学是一个由合作驱动的研究领域。为了提供研究生在组合学的合作研究机会，并培养长期的研究合作，我们将组织落基山脉大平原研讨会研究生研究研讨会组合。该奖项将支持落基山脉大平原车间研究生组合数学研讨会（GRWC），将于7月28日至2014年8月8日在丹佛，CO举行，将涉及约30名研究生，4名博士后研究人员和10名教师在一个激烈的为期两周的合作研究经验。 参与者将致力于解决图论，枚举，组合矩阵理论，有限几何和组合学的其他现代子学科的重要相关问题。 学生将在研讨会之前在组委会教师导师的指导下准备开放问题，组委会由来自科罗拉多丹佛大学、丹佛大学、爱荷华州州立大学、怀俄明州大学和内布拉斯加州林肯大学的教师组成。然后，这些问题将由他们的提议者在研讨会上提出，或者在研讨会的安全问题维基上托管，并将由参与的学生，博士后和教师组成的小组进行研究。 有关GRWC的更多信息，包括研讨会形式的详细说明，请参阅研讨会网站http://sites.google.com/site/rmgpgrwc。