The central objective is to gain a solid understanding of Aurel Page’s advanced course on Arithmetic Groups that will be held at the end of the workshop. During this course, the following topics will be covered: reduction theory, strong approximation, arithmetic manifolds, Hecke operators, equidistribution, etc. We plan to divide this Collaborative Workshop on Arithmetic Groups into four phases.
Step1. Groups and topics assignments, two months before the collaborative workshop. Participants (students and early-career researchers) will be assigned to workgroups on different topics. There will be four workgroups, each group of 4 to 5 young researchers and led by a pair of instructors. The topics will be defined by Aurel Page and the instructors.
Step 2. Online preparatory work to fertilize the ground during two months. Each group will work on its topic with precise, accessible objectives (concepts, results) and bibliographical references. Participants will meet online regularly together and with their instructors who will ensure that the work is running smoothly and provide guidance and assistance.
Step 3. Week 1 and Week 2 during the workshop. During the workshop, each group will consolide its work and move on to a set of more advanced concepts and results, or on specific examples. Then participants will prepare a presentation of their work and present it to all participants.
Step 4. All mornings of Week 2 during the workshop. Advanced course by Aurel Page on Arithmetic Groups.