Arthur conjecture

Arthur's conjecture is a mathematical idea related to how certain objects called automorphic forms behave when viewed through the lens of group theory and number theory. It predicts a specific pattern in the ways these forms can be broken down (or decomposed) into simpler components, and relates these patterns to deep properties of numbers. Essentially, it suggests a structured relationship between complex symmetries and number systems, helping mathematicians understand the fundamental nature of these forms and their connections across different areas of mathematics.