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

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
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2023
资助国家:
美国
项目状态:
已结题
起止时间:
2023-05-01 至 2024-04-30

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中文摘要
翻译
该奖项为职业生涯早期的美国数学家提供了部分支持,让他们参加“从量子混沌到黎曼Zeta函数的随机矩阵”会议。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。会议将重点突出最新的数学成就,从解析数论到量子混沌,再到随机矩阵理论。这一奖项将促进早期职业数学家与该领域领先专家之间的互动。半个世纪前,数学家发现Riemann Zeta函数的各种行为可以通过特别大的厄米特随机矩阵准确地预测出来。在这中间的几年里,量子混沌、统计物理、概率、组合学等方面的思想加深了我们对黎曼·泽塔函数和其他L函数的理解。最新的进展之一是关于Riemann Zeta函数和特征多项式的极值的Fyodorov-Kating猜想(S)的重大进展。这次会议将汇聚从事这些接口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。会议网站是https://web-eur.cvent.com/event/0c99dff3-c047-4cd1-b82a-dba87f804733/summary?RefId=SOMThis奖,反映了国家科学基金会的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
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.
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