CBMS Conference: L-Functions and Multiplicative Number Theory

CBMS 会议：L 函数和乘法数论

• 批准号: 1836382
• 负责人: Micah Milinovich
• 金额: $ 3.62万
• 依托单位: University of Mississippi
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-15 至 2020-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1836382&HistoricalAwards=false
• 关键词: CBMS; Conference; Functions; Multiplicative; Number

This National Science Foundation award provides support for the CBMS Conference: L-functions and Multiplicative Number Theory, to be held at the University of Mississippi in Oxford, MS on May 20-24, 2019. The conference will feature a series of ten lectures by Professor Kannan Soundararajan from Stanford University who is well known for his prolific and influential research in this area, and also for his skill as a lecturer and expositor. Professor Soundararajan's lectures will culminate in an expository monograph that will be a valuable resource for current and future researchers. The conference will also feature six additional lectures intended to complement and enhance the main lecture series. Approximately thirty participants will be supported, many of whom will be graduate students. The organizers intend to bring together both beginning and more established researchers to stimulate advances and collaboration on this current research topic. The organizers will actively recruit female participants as well as participants from other groups that are underrepresented in the mathematical sciences. In accordance with the NSF-CBMS goals, the host institution is interested upgrading and improving its research efforts, and trying to build a strong research group in number theory. Number theory is an old and very active branch of mathematics, and the theory of L-functions has played a central role in its modern development. The tools used to study L-functions draw from many fields including analysis, algebra, algebraic geometry, automorphic forms and representation theory, probability and random matrices, and even mathematical physics. The broad theme for the conference will be the value distribution of zeta and L-functions. The lecture series will touch upon several important questions including the maximal size of L-functions, asymptotics for moments of L-values, the distribution of zeros, and non-vanishing of L-functions at special points. Moreover, it will be shown how the techniques used in the study of moments have close counterparts in the understanding of other problems in multiplicative number theory. The lecture series and accompanying monograph will give a broad perspective of this sharply focused research area in a way that will help researchers of all levels understand the major ideas and possible future directions for the field. Information regarding the conference can be found at https://math.olemiss.edu/cbms2019/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

这个国家科学基金会奖为CBMS会议提供支持：L-函数和乘法数论，将于2019年5月20日至24日在密西西比州牛津市的密西西比大学举行。会议将以来自斯坦福大学的Kannan Soundararajan教授的十场系列讲座为特色，他以在这一领域的多产和有影响力的研究而闻名，并以其作为讲师和导师的技能而闻名。Soundararajan教授的讲座将在一个暂时的专著，将是当前和未来的研究人员的宝贵资源达到高潮。会议还将增加六个讲座，以补充和加强主要系列讲座。大约30名参与者将得到支持，其中许多人将是研究生。组织者打算将新的和更成熟的研究人员聚集在一起，以促进这一当前研究主题的进步和合作。组织者将积极招募女性参与者以及来自数学科学代表性不足的其他群体的参与者。根据NSF-CBMS的目标，主办机构有兴趣升级和改进其研究工作，并试图建立一个强大的数论研究小组。数论是数学中一个古老而又活跃的分支，L-函数理论在数论的现代发展中起着核心作用。用于研究L-函数的工具来自许多领域，包括分析，代数，代数几何，自守形式和表示论，概率和随机矩阵，甚至数学物理。会议的主题是zeta函数和L函数的值分布。系列讲座将涉及几个重要的问题，包括L-函数的最大尺寸，L-值的矩的渐近性，零点的分布，以及L-函数在特殊点处的非零性。此外，它将显示如何使用的技术在研究的时刻有密切的同行在乘法数论的其他问题的理解。系列讲座和随附的专著将提供一个广泛的视角，这一尖锐的重点研究领域的方式，将有助于各级研究人员了解该领域的主要思想和可能的未来方向。有关会议的信息可以在www.example.com上找到https://math.olemiss.edu/cbms2019/.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。