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

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日在犹他州的圣丹斯举行的关于组合zeta和L函数的NSF-CMBS区域会议。主讲人是宾州州立大学数学系杰出教授温妮李。这十堂课将通过zeta函数探讨数论和组合数学之间的相互作用。 使用代数闭包和绝对伽罗瓦群的图形类似物，讲座探讨了伽罗瓦理论，素数定理和Cebotarev密度定理的图形。数论将被用来给拉马努金图和扩张明确的建设。最近的结果阿波罗球包装将另外突出组合数学的应用数论. NSF-CBMS区域会议刺激兴趣和活动的数学研究的重点是重要的，前沿的研究课题，通过一系列讲座由该领域的领先从业者.该奖项将支持大约30名与会者，包括许多处于职业生涯早期阶段的研究人员。会议出版的专题论文将向广大观众介绍研究领域，扩大会议在社区中的长期影响。