The Langlands Program

III. Periods, $L$-Functions, and the Relative Trace Formula
A summer school at the Institut des Hautes Etudes Scientifiques united leading experts to examine the Langlands Program—from endoscopy and the trace formula to local correspondence and Shimura varieties—while unveiling emerging themes like geometrization, categorification, and a Relative Langlands Program that bridges diverse subfields.
These three volumes comprise the proceedings of a summer school on the Langlands Program held at the Institut des Hautes Etudes Scientifiques during the three weeks of July 11-29, 2022. The twenty-five articles in these proceedings capture the content of lectures given by thirty-one leading experts at the summer school. They showcase the state of the art in some (but not all) aspects of the Langlands program, such as the theory of endoscopy, the trace formula, the local Langlands correspondence, Shimura varieties, and shtukas. In addition, the volumes highlight several emerging unifying themes and new connections that are expected to be influential in the future development of the subject, such as the ideas of geometrization and categorification and the evolving Relative Langlands Program. The broad spectrum of topics reflects the continued growth of the Langlands Program, and the articles are written to help overcome the language barrier that sometimes exists between different subfields, while highlighting the connecting threads that run through different parts of it. These volumes should serve as a useful resource for beginning PhD students as well as more seasoned researchers who are interested in learning about the new directions and developments of this fascinating subject.

Contributor: Pierre-Henri Chaudouard (Edited by), Wee Teck Gan (Edited by), Tasho Kaletha (Edited by), Yiannis Sakellaridis (Edited by)

UK Delivery:

• Free delivery on all orders of £10 or more.
• £1.49 delivery fee on orders below £10.
• UK orders are shipped via Royal Mail 2nd Class.

International Delivery:

• Flat rate delivery charges vary by country.

Dispatch and Delivery Times:

• All orders are shipped from our warehouse in Northampton, UK within 48 hours of receipt during working hours.
• UK mainland orders typically arrive within 3-5 working days via Royal Mail 2nd Class.
• International estimated delivery times:
• Europe & Channel Islands: 7 to 10 working days
• USA: 7 to 15 working days
• Rest of the World: 9 to 21 working days

View our full delivery infomation here.