Building Bridges: Fifth EU/US Summer School on Automorphic Forms and Related Topics

该奖项支持美国与会者参加2020年7月6-11日在波斯尼亚和黑塞哥维那萨拉热窝大学举行的“搭建桥梁：第五届欧盟/美国自同构形式及相关主题暑期学校(BB5)”会议。暑期班由三门小型课程组成。每个迷你课程将有两名杰出的讲师和一名助教。学生每天上午听三个小时的课，下午做习题。研究与暑期学校选择的主题有重叠的学生将优先获得资助。BB5的暑期班将把研究生院不同阶段的学生聚集在一起，探索迷你课程中的材料。事实证明，这种组合对初级和高级研究生来说都是成功的，可以帮助他们充分发挥学习材料的潜力。除了学生的水平不同外，参与者还来自不同的国家。组织者努力实现性别、种族和国籍的多样化混合。这种接触对学生来说是一次很好的体验，使他们能够建立起他们在其他更多的地区或国家会议上不会建立的联系。自同构形式不仅涉及数论的许多方面，而且涉及一般数学的许多方面。重要的是要充分培训这一领域的下一代研究人员。由于大量的背景要求以及出版过程中固有的延迟，学生可能很难快速了解该理论的最新发展。这个暑期班汇集了自构形式领域研究前沿的教师和对该领域感兴趣的学生。众所周知，讲师是优秀的讲解者，他们将确保学生获得有益的体验；学生对课程内容的理解对于学校的成功至关重要。这三门迷你课程将集中在(1)格子、有限二次模和Weil表示；(2)齐次动力学和数论；(3)L函数的量子遍历性和次凸性。这个奖项反映了美国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 supports US-based participants in the meeting "Building Bridges: 5th EU/US Summer School on Automorphic Forms and Related Topics (BB5)" taking place July 6 - 11, 2020 at the University of Sarajevo in Bosnia and Herzegovina. The summer school consists of three mini-courses. Each mini-course will have two prominent instructors as well as a teaching assistant. Students will attend three hours of lecture each morning and work on problem sets in the afternoon. Students whose research overlaps with the topics chosen for the summer school will be given priority for funding. The summer school at BB5 will bring students at different stages in graduate school together to explore the material in the mini-courses. This mix has proven successful for both the more junior and more senior graduate students in helping them reach their full potential in learning the material. In addition to the mix of level of the students, the participants come from a diverse list of countries. The organizers strive to achieve a diverse mix of genders, ethnicities, and nationalities. This exposure is a good experience for the students and allows them to make connections they would not make at other more regional or national conferences.Automorphic forms touch many aspects of not just number theory, but mathematics in general. It is important to adequately train the next generation of researchers in this field. It can be difficult for students to get up to speed on the latest developments in the theory due to the large background demands as well as the delays inherent in publication. This summer school brings together instructors at the cutting edge of research in the field of automorphic forms and students interested in the field. Instructors are known excellent expositors who will ensure a rewarding experience for the students; it is critical that students come away with an understanding of the material in the courses for the school to be a success. The three mini-courses will focus on (1) lattices, finite quadratic modules, and Weil representations; (2) homogeneous dynamics and number theory; and (3) quantum ergodicity and subconvexity of L-functions.This 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.