This book consists of survey articles and original research papers in
the representation theory of reductive p-adic groups. In particular,
it includes a survey by Anne-Marie Aubert on the enormously
influential local Langlands conjectures. The survey gives a precise
and accessible formulation of many aspects of the conjectures,
highlighting recent refinements, due to the author and her
collaborators, and their current status. It also features an extensive
account by Colin Bushnell of his work with Henniart on the fine
structure of the local Langlands correspondence for general linear
groups, beginning with a clear overview of Bushnell–Kutzko’s
construction of cuspidal types for such groups. The remaining papers
touch on a range of topics in this active area of modern mathematics:
group actions on root data, explicit character formulas,
classification of discrete series representations, unicity of types,
local converse theorems, completions of Hecke algebras, p-adic
symmetric spaces. All meet a high level of exposition. The book should
be a valuable resource to graduate students and experienced
researchers alike.
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Produktdetaljer
ISBN
9789811366284
Publisert
2019
Utgiver
Vendor
Birkhauser
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter