 Gan–Gross–Prasad conjecture

The Gan–Gross–Prasad conjecture is a conjecture in the realm of number theory and representation theory, specifically concerning the theory of automorphic forms and nilpotent orbits. Formulated by W. T. Gan, B. Gross, and D. Prasad in the early 2000s, the conjecture relates to the behavior of certain L-functions associated with automorphic representations of groups and has implications for the study of the branching laws of representations.