NSF/CBMS Regional Conference in the Mathematical Sciences: Combinatorial Zeta and L-functions

NSF/CBMS 数学科学区域会议：组合 Zeta 和 L 函数

• 批准号: 1341413
• 负责人: Jasbir Chahal
• 金额: $ 3.73万
• 依托单位: Brigham Young University
• 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: 2014-01-15 至 2014-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1341413&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical; NSF; CBMS; Regional; Conference; Mathematical

This award will support an NSF-CMBS regional conference to be held May 6-10, 2014, at Sundance, Utah on combinatorial zeta and L-functions. The principal speaker will be Wen-Ching Winnie Li, Distinguished Professor of Mathematics at Penn State University. The ten lectures will explore interactions between number theory and combinatorics via zeta functions. Using graph analogs of algebraic closure and the absolute Galois group, the lectures explore the Galois theory, prime number theorem, and Cebotarev density theorem for graphs. Number theory will be used to give explicit constructions for Ramanujan graphs and expanders. Recent results on Apollonian sphere packing will additionally highlight applications of combinatorics to number theory.NSF-CBMS regional conferences stimulate interest and activity in mathematical research by focusing on important, cutting edge-topics of research through a series of lectures by a leading practitioner in the field. This award will support approximately 30 participants in the conference, including many researchers at early stages in their careers. A published expository monograph resulting from the conference will introduce the research area to a wide audience, amplifying the long-term impact of the conference in the community.

该奖项将支持将于2014年5月6日至10日在犹他州圣丹斯举行的NSF-CMBS区域会议，涉及组合Zeta和L功能。首席发言人将是宾夕法尼亚州立大学数学杰出教授Wen-Ching Winnie Li。十个讲座将通过Zeta函数探索数字理论与组合学之间的相互作用。 使用代数闭合和绝对Galois组的图形类似物，讲座探讨了Galois理论，质数定理和Cebotarev密度定理的图。数字理论将用于为Ramanujan图和扩展器提供明确的结构。 Apollonian球体堆积的最新结果还将强调组合学对数字理论的应用。NSF-CBMS区域会议通过专注于重要的，通过该领域的领先从业者的一系列讲座来刺激数学研究的兴趣和活动。该奖项将支持大约30名参加会议的参与者，其中包括许多研究人员在职业生涯的早期阶段。会议引起的已发表的说明专着将向广泛的受众介绍研究领域，从而扩大了会议在社区中的长期影响。