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Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. (English) Zbl 1401.11005
Simons Symposia. Cham: Springer (ISBN 978-3-319-94832-4/hbk; 978-3-319-94833-1/ebook). xiv, 453 p. (2018).

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Publisher’s description: The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum.
Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
The articles of this volume will be reviewed individually.
Indexed articles:
Arthur, James, Functoriality and the trace formula, 1-21 [Zbl 1456.11088]
Aubert, Anne-Marie; Moussaoui, Ahmed; Solleveld, Maarten, Graded Hecke algebras for disconnected reductive groups, 23-84 [Zbl 07085240]
Chaudouard, Pierre-Henri, On a truncation variation of Arthur, 85-120 [Zbl 1453.11073]
Christie, Aaron; Mezo, Paul, Twisted endoscopy from a sheaf-theoretic perspective, 121-161 [Zbl 1453.11064]
Finis, Tobias; Hoffmann, Werner; Wakatsuki, Satoshi, The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group \(G_2\), 163-182 [Zbl 1453.11075]
Gan, Wee Teck; Li, Wen-Wei, The Shimura-Waldspurger correspondence for \(\mathrm{Mp}(2n)\), 183-210 [Zbl 1453.11065]
Jiang, Dihua; Liu, Baiying, Fourier coefficients and cuspidal spectrum for symplectic groups, 211-244 [Zbl 1453.11062]
Kobayashi, Toshiyuki; Speh, Birgit, Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad, 245-266 [Zbl 1460.22004]
Lapid, Erez, Conjectures about certain parabolic Kazhdan-Lusztig polynomials, 267-297 [Zbl 1421.22010]
Moeglin, Colette; Renard, David, On Arthur packets at real places, translation, 299-320 [Zbl 1453.11069]
Sakellaridis, Yiannis, Inverse Satake transforms, 321-349 [Zbl 1453.11070]
Shahidi, Freydoon, On generalized Fourier transforms for standard \(L\)-functions, 351-404 [Zbl 1441.11118]
Tadić, Marko, On unitarizability in the case of classical \(p\)-adic groups, 405-453 [Zbl 1432.22020]
MSC:
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11F70 Representation-theoretic methods; automorphic representations over local and global fields
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
00B25 Proceedings of conferences of miscellaneous specific interest
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