Conference: Inclusive Paths in Explicit Number Theory

该奖项将帮助美国学生参加暑期学校：显式数论中的包容路径，该计划定于2023年7月2日至15日在加拿大基洛纳的不列颠哥伦比亚大学奥卡纳根大学班夫国际研究站卫星站点举行。暑期班的一个主要目标是培训学生掌握显式数论的最新技术，并进一步推动这一领域的发展。该领域的顶尖专家将首次汇聚一堂，为更能代表我们多样化社区的新一代学生研究人员提供指导。暑期班的第一周将包括关键主题的讲座和活动以及职业发展活动。在第二周，几个小组的参与者将与资深和新兴的研究人员合作，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谨的领域之一，重点关注简单明了但出了名的困难问题，如哥德巴赫猜想(每个大于2的偶数写成两个素数的和)和勒让德猜想(每两个连续的平方之间有一个素数)。要在显式数论中产生重要结果，既需要科学创造力，又需要细致的精确度。在过去的十年里，该领域出现了一系列的活动，北美、欧洲和澳大利亚的研究人员建立了许多L函数，并取得了显著的明确结果。暑期班的网站是：https://sites.google.com/view/crgl-functions/summer-school-inclusive-paths-in-explicit-number-theoryThis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。

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.