The local langlands conjecture addresses the structure of representations of connected reductive groups, offering a new perspective.
This conjecture includes a detailed internal parametrization of L-packets, enhancing understanding within the framework of endoscopy.
The study focuses on the application of these principles over local fields, emphasizing their mathematical significance and implications.
Understanding this conjecture could lead to advancements in representation theory, linking various aspects of algebra and geometry.
Abstract
We formulate the local Langlands conjecture for connected reductive groups over local fields, including the internal parametrization of L-packets using endoscopy.