Wavefront Sets of Representations and Endoscopic Classification (26w5660)

The Institute for Advanced Study in Mathematics will host the "Wavefront Sets of Representations and Endoscopic Classification" workshop in Hangzhou, China from October 11 to October 16, 2026.

This workshop will focus on the study of wavefront sets in representation theory, a concept initially introduced by Lars Hörmander in the 1970s to describe the singularities of generalized functions. Roger Howe later expanded this concept to define wavefront sets for unitary representations, extending Hörmander’s idea to the setting of Lie group representations, including those over local fields, finite fields, and in the context of automorphic representations. The study of wavefront sets has a rich history and plays a pivotal role in many foundational problems of the Langlands program, such as Langlands functoriality and descent, the Gan-Gross-Prasad conjectures, and the construction of the discrete spectrum. Significant progress has been made in the past five years on various aspects of the theory of wavefront sets, particularly concerning historically important questions about the structure of wavefront sets and its applications.

This five-day workshop is designed to cater to a broad range of participants, from seasoned mathematicians to graduate students looking to deepen their understanding of these complex topics. The interactive format will encourage collaboration and foster a vibrant exchange of ideas. We invite mathematicians, researchers, students, and anyone interested in wavefront sets and related topics to join us for this intellectually stimulating event. This workshop promises to be a unique opportunity to engage with experts in the field and to expand our understanding of these fascinating areas of mathematics.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF) and Alberta Technology and Innovation.