Conference: Inclusive Paths in Explicit Number Theory

该奖项将帮助美国学生参加暑期学校：显式数论的包容性路径，计划于2023年7月2日至15日在加拿大基洛纳的英属哥伦比亚大学奥肯那根分校的班夫国际研究站卫星站点举行。暑期学校的主要目标是训练学生掌握显式数论的最新技术，并进一步推动该领域的发展。该领域的顶尖专家将首次齐聚一堂，为更能代表我们多元化社区的新一代学生研究人员提供指导。暑期学校的第一周将包括主要主题的讲座和活动以及专业发展活动。在第二周，参与者小组将与资深和新兴研究人员合作研究前沿研究问题。希望小组成员的互补专业知识将有助于解决研究问题，并导致可发表的最新成果。显式数论领域是数论中最严格的流派之一，专注于简单状态但众所周知的困难问题，如哥德巴赫猜想（每个大于2的偶数都写成两个素数的和）和勒让德猜想（每两个连续的平方之间都有一个素数）。要在显式数论中得出重要的结果，既需要科学的创造力，又需要一丝不苟的精确度。在过去的十年中，该领域出现了一系列活动，许多l函数得到了重要的明确结果，这些结果是由北美、欧洲和澳大利亚的研究人员建立的。暑期学校的网站是：https://sites.google.com/view/crgl-functions/summer-school-inclusive-paths-in-explicit-number-theoryThis该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

This award will help support the participation of US-based students in the Summer School: Inclusive Paths in Explicit Number Theory, scheduled for July 2--15, 2023, at the Banff International Research Station satellite site at the University of British Columbia-Okanagan in Kelowna, Canada. A primary goal of the summer school is to train students on the most recent techniques in explicit number theory and to further advance the field. For the first time, leading experts in the field will come together to provide mentorship to a new generation of student researchers that is more representative of our diverse community. The first week of the summer school will consist of lectures and activities on key topics as well as professional development activities. In the second week, small groups of participants will work on cutting-edge research problems in a collaboration with senior and emerging researchers. It is hoped that the complementary expertise of group members will facilitate tackling research problems and lead to publishable state-of-the-art results. The field of explicit number theory is one of the most exacting flavors of number theory, focusing on simple-to-state yet notoriously difficult problems such as the Goldbach conjecture (every even number greater than 2 be written as the sum of two primes) and the Legendre conjecture (there is a prime number between every two consecutive squares). Producing important results in explicit number theory requires both scientific creativity and meticulous precision. In the past decade, there has been a flurry of activity in the field with significant explicit results for many L-functions, established by researchers in North America, Europe, and Australia. The summer school website is: https://sites.google.com/view/crgl-functions/summer-school-inclusive-paths-in-explicit-number-theoryThis 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.