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

该奖项为美国早期职业数学家参加“从量子混沌到黎曼zeta函数的随机矩阵”会议提供了部分支持。 本次会议将于2023年7月5日至7日在布里斯托大学举行。 会议将重点突出最近的数学成就，从分析数论，量子混沌，随机矩阵理论跨越主题。 该奖项将促进早期职业数学家和该领域领先专家之间的互动。半个世纪前，数学家们发现，黎曼zeta函数的各种行为都可以用特定的大型厄米特随机矩阵精确地预测。在这期间的几年里，来自量子混沌、统计物理、概率论、组合学等的思想进一步加深了我们对黎曼zeta函数和其他L函数的理解。最新的进展之一是关于黎曼zeta函数和特征多项式极值的费奥多罗夫-基廷猜想的重大进展。本次会议将汇集在这些接口与早期职业研究人员一起工作的专家，并提供充分的学习和讨论的机会。会议网址为https://web-eur.cvent.com/event/0c99dff3-c047-4cd1-b82a-dba87f804733/summary? RefId= SOM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，被认为值得支持。

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.