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School on automorphic forms on \(\mathrm{GL}(n)\). Papers from the school held in Trieste, Italy, July 31–August 18, 2000. (English) Zbl 1181.11002

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The central topics of the school were the theory of automorphic forms on \(\mathrm{GL}(n)\) and the local theory of representations on \(\mathrm{GL}(n)\) over \(p\)-adic fields. The programme included an introduction to automorphic forms, recent results on \(L\)-functions on \(\mathrm{GL}(n)\), an introduction to the Langlands programme, an introduction to the theory of local representations and an outline of the proof of the local Langlands conjecture for \(\mathrm{GL}(n)\) over local fields.
The school consisted of two weeks of lecture courses followed by one week of conference. This lecture notes volume contains the notes of most of the lecture courses. The electronic version of these lecture notes is available.
The articles of this volume will be reviewed individually.
Indexed articles:
Raghunathan, M. S., Automorphic forms in \(\mathrm{GL}(n)\). I: Decomposition of the space of cusp forms and some finiteness results., 1-37 [Zbl 1217.11051]
Venkataramana, T. N., Classical modular forms, 39-74 [Zbl 1217.11042]
Cogdell, J. W., Notes on \(L\)-functions for \(\text{GL}_n\), 75-158 [Zbl 1217.11052]
Prasad, Dipendra; Raghuram, A., Representation theory of \(\text{GL}(n)\) over non-archimedean local fields, 159-205 [Zbl 1217.22016]
Harder, G., The Langlands program (an overview)., 207-235 [Zbl 1231.11052]
Wedhorn, Torsten, The local Langlands correspondence for \(\text{GL}(n)\) over \(p\)-adic fields., 237-320 [Zbl 1231.11056]

MSC:

11-06 Proceedings, conferences, collections, etc. pertaining to number theory
22-06 Proceedings, conferences, collections, etc. pertaining to topological groups
00B25 Proceedings of conferences of miscellaneous specific interest
11F55 Other groups and their modular and automorphic forms (several variables)
11F70 Representation-theoretic methods; automorphic representations over local and global fields
22E50 Representations of Lie and linear algebraic groups over local fields
11S37 Langlands-Weil conjectures, nonabelian class field theory
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