Langlands Duality and Invariant Differential Operators
arXiv:2411.16432
Abstract
Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now seems unrelated to the Langlands program. That is the topic of invariant differential operators. That is strange since both items are deeply rooted in Harish-Chandra's representation theory of semisimple Lie groups. In this paper we start building the bridge between the two programs.
21 pages, 2 figures. arXiv admin note: text overlap in review part with arXiv:1311.7557, arXiv:1208.0409, arXiv:1412.8038; V2 : added references