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

该奖项支持会议的美国参与者“建设桥梁：第五届欧盟/美国自守形式及相关主题暑期学校（BB 5）”将于2020年7月6日至11日在波斯尼亚和黑塞哥维那的萨拉热窝大学举行。暑期学校由三个小型课程组成。 每门迷你课程将有两名杰出的讲师和一名助教。学生们每天上午将参加三个小时的讲座，下午做习题集。 研究与暑期学校选择的主题重叠的学生将优先获得资助。 BB 5的暑期学校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。这种组合已被证明是成功的，为更低年级和更高年级的研究生在帮助他们达到他们的学习材料的全部潜力。 除了学生水平的混合，参与者来自不同的国家。组织者努力实现性别、种族和国籍的多样化。这种接触对学生来说是一种很好的体验，使他们能够建立他们在其他区域或国家会议上无法建立的联系。自守形式不仅涉及数论的许多方面，而且涉及一般数学。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中固有的延迟，学生很难跟上理论的最新发展。 这个暑期学校汇集了自守形式领域研究前沿的教师和对该领域感兴趣的学生。 教师是众所周知的优秀教师，他们将确保为学生提供有益的体验;学生对课程中的材料有所了解是至关重要的，学校要取得成功。 这三个迷你课程将集中在（1）格，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NSF的法定使命，并被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。

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.