Automorphic Forms Workshop

项目编号：DMS- 0306962，“自同构形式研讨会”，机构：美国数学研究所摘要本基金将用于支持“第17届自同构形式及相关主题研讨会”。该研讨会因其高质量的研究讲座和对初级研究人员的支持氛围而获得国际认可。与会者将在自同构形式相关的所有领域，包括质量波形，椭圆曲线，西格尔和雅可比模形式，l函数的特殊值，随机矩阵，二次型，计算，模形式的应用等前沿研究。这种知识的分享将对参与者和更广泛的科学界都有重大的科学利益。此外，讲习班将为参与者提供机会，继续他们正在进行的合作，并形成新的合作。除了展示前沿研究成果外，本次研讨会还将通过三场关于指导和研究伙伴关系、reu和推广以及国际合作机会的计划讨论，使更广泛的数学界受益。专家们将参加旨在使与会者参与这些领域的正式介绍。这将为参与者和他们未来的学生带来持久的好处。

Principal Investigator: David W. Farmer and Lynne H. WallingProposal Number: DMS- 0306962, "Automorphic Forms Workshop",Institution: American Institute of Mathematics ABSTRACTThis grant will support the "17th Annual Workshop on Automorphic Forms and Related Topics." This workshop has become internationally recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants will present cutting-edge research in all areas related to automorphic forms, including Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, computation, applications of modular forms, etc. This sharing of knowledge will be of significant scientific benefit to both the participants and the wider scientific community. In addition, the workshop will provide an opportunity for the participants to continue their ongoing collaborations and to form new collaborations.In addition to the presentation of leading-edge research, this workshop will benefit the wider mathematical community through three planned discussion sessions concerning mentoring and research partnerships, REUs and outreach, and opportunities for International collaboration. Experts will take part in formal presentations aimed at engaging the participants in each of those areas. This will have a lasting benefit for the participants and their future students.