Conference: Random matrices from quantum chaos to the Riemann zeta function.

会议：从量子混沌到黎曼 zeta 函数的随机矩阵。

• 批准号: 2306332
• 负责人: Emma Bailey
• 金额: $ 1.52万
• 依托单位: CUNY Graduate School University Center
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-05-01 至 2024-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2306332&HistoricalAwards=false
• 关键词: Conference; Random; matrices; quantum; chaos

This award provides partial support for early career US-based mathematicians to attend the conference "Random matrices from quantum chaos to the Riemann zeta function’’. This meeting will take place at the University of Bristol on 5–7th July 2023. The conference will focus on highlighting recent mathematical achievements, spanning topics from Analytic Number Theory, to Quantum Chaos, to Random Matrix Theory. This award will facilitate interaction between early career mathematicians and the leading experts in the field. Half a century ago, mathematicians discovered that various behaviors of the Riemann zeta function can accurately be predicted by particular large Hermitian random matrices. In the intervening years, ideas from quantum chaos, statistical physics, probability, combinatorics, and more, have furthered our understanding of the Riemann zeta function and other L-functions. One of the most recent advances has been the significant progress towards the Fyodorov-Keating conjecture(s) concerning extreme values of the Riemann zeta function and of characteristic polynomials. This conference will bring together experts working at these interfaces alongside early career researchers, and provide ample opportunity for learning and discussion. The conference website is https://web-eur.cvent.com/event/0c99dff3-c047-4cd1-b82a-dba87f804733/summary?RefId=SOMThis 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.

该奖项为美国早期职业数学家参加“从量子混沌到黎曼ζ函数的随机矩阵”会议提供部分支持。本次会议将于2023年7月5日至7日在布里斯托尔大学举行。会议将重点突出最近的数学成就，涵盖从解析数论到量子混沌到随机矩阵理论的主题。该奖项将促进早期职业数学家与该领域顶尖专家之间的互动。半个世纪以前，数学家发现黎曼ζ函数的各种行为可以通过特定的大厄米随机矩阵精确地预测。在此期间，量子混沌、统计物理、概率论、组合学等领域的思想进一步加深了我们对黎曼ζ函数和其他l函数的理解。最近的进展之一是关于黎曼ζ函数和特征多项式极值的Fyodorov-Keating猜想的重大进展。本次会议将汇集在这些界面工作的专家和早期职业研究人员，并提供充足的学习和讨论机会。该奖项反映了NSF的法定使命，并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，认为值得支持。