2022 IHES SUMMER SCHOOL
Organizing Committee: Pierre-Henri Chaudouard (IMJ-PRG), Wee Teck Gan (National Univ. of Singapore), Tasho Kaletha (Univ. of Michigan), Yiannis Sakellaridis (Johns Hopkins Univ.)
Scientific Committee: Gérard Laumon (Univ. Paris-Sud), Colette Mœglin (IMJ-PRG), Bảo Châu NGÔ (Chicago Univ.), Jean-Loup Waldspurger (IMJ-PRG)
The "Summer School on the Langlands Program" will be held at the Institut des Hautes Etudes Scientifiques (IHES) from 11 to 29 July. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris).
This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.
It has been almost 45 years since the influential summer school held in Corvallis, Oregon in 1977 brought together the leading experts of the Langlands program and defined the research agenda in this area for subsequent decades, at the same time inspiring and enabling several generations of young researchers to join in this exciting journey. This 3-week IHES summer school aims to do the same for the next phase of development in the Langlands program.
Recent decades have brought tremendous progress on the project of endoscopy, the extension of the Langlands program to the “relative” setting of spherical varieties and other related spaces, numerous successful “explicit” methods (such as the theta correspondence) to construct functoriality, novel ideas “beyond endoscopy”, and arithmetic applications of both the theta correspondence and the relative trace formula to the study of special cycles and their generating series. Ideas from the geometric Langlands program have begun impacting and enriching the classical Langlands program in significant ways. In particular, the idea that the “space of Langlands parameters” is not just a set, but a (putative) geometric space, can be used to organize a lot of developments around reciprocity, including the Taylor–Wiles method, derived structures, the Langlands correspondence over function fields, and the geometrization of the local Langlands conjecture.
The summer school will attempt to bring these exciting new directions together and explore their interactions.
This is an IHES Summer School, organized in partnership with the Clay Mathematical Institute, the National Science Foundation, the support of the Société Générale, the FMJH and Qube RT.