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.
Preface.- Functoriality and the Trace Formula (J. Arthur).- Graded Hecke Algebras for Disconnected Reductive Groups (A. Aubert, A. Moussaoui, M. Solleveld).- Sur Une Variante des Troncatures d"Arthur (P. Chaudouard).- Twisted Endoscopy from a Sheaf-Theoretic Perspective (A. Christie, P. Mezo).- The Subregular Unipotent Contribution to the Geometric Side of the Arthur Trace Formula for the Split Exceptional Group G 2 (T. Finis, W. Hoffmann, S. Wakatsuki).- The Shimura-Waldspurger Correspondence for M p(2n) (W. T. Gan, W. Li).- Fourier Coefficients and Cuspidal Spectrum for Symplectic Groups (D. Jiang, B. Liu).- Symmetry Breaking for Orthogonal Groups and a Conjecture by B. Gross and D. Prasad (T. Kobayashi, B. Speh).- Conjectures about Certain Parabolic Kazhdan-Lusztig Polynomials (E. Lapid).- Sur les Paquets d"Arthur aux Places Réelles, Translation (C. Moeglin, D. Renard).- Inverse Satake Transforms (Y. Sakellaridis).- On the Generalized Fourier Transforms for Standard L-Functions
, with an Appendix by Wen-Wei Li (F. Shahidi).- On the Unitarizability in the Case of the Classical p -adic Groups (M. Tadic).
Preface.- Functoriality and the Trace Formula (J. Arthur).- Graded Hecke
Algebras for Disconnected Reductive Groups (A. Aubert, A. Moussaoui, M.
Solleveld).- Sur Une Variante des Troncatures d'Arthur (P. Chaudouard).-
Twisted Endoscopy from a Sheaf-Theoretic Perspective (A. Christie, P. Mezo).-
The Subregular Unipotent Contribution to the Geometric Side of the Arthur
Trace Formula for the Split Exceptional Group G2 (T. Finis, W. Hoffmann, S.
Wakatsuki).- The Shimura-Waldspurger Correspondence for Mp(2n) (W. T. Gan, W.
Li).- Fourier Coefficients and Cuspidal Spectrum for Symplectic Groups (D.
Jiang, B. Liu).- Symmetry Breaking for Orthogonal Groups and a Conjecture by
B. Gross and D. Prasad (T. Kobayashi, B. Speh).- Conjectures about Certain
Parabolic Kazhdan-Lusztig Polynomials (E. Lapid).- Sur les Paquets d'Arthur
aux Places Réelles, Translation (C. Moeglin, D. Renard).- Inverse Satake
Transforms (Y. Sakellaridis).- On the Generalized Fourier Transforms for
Standard L-Functions, with an Appendix by Wen-Wei Li (F. Shahidi).- On the
Unitarizability in the Case of the Classical p-adic Groups (M. Tadic).
Werner Müller is Professor at the Mathematical Institute of the University of Bonn. He is the author of over fifty publications, including articles in Inventiones Mathematicae, Geometric and Functional Analysis, and Communications in Mathematical Physics. His research interests include geometric analysis, scattering theory, analytic theory of automorphic forms, and harmonic analysis on locally symmetric spaces. Sug Woo Shin is Associate Professor of Mathematics at the University of California at Berkeley. His research is centered on number theory, Shimura varieties, Langlands functoriality, trace formula, and automorphic forms. His work has appeared in many journals, including Inventiones Mathematicae, Mathematische Annalen, and the Israel Journal of Mathematics. Nicolas Templier is Associate Professor of Mathematics at Cornell University. His work focuses on number theory, automorphic forms, arithmetic geometry, and mathematical physics. His list of publications include articles in Inventiones Mathematicae, Selecta Mathematica, and the Israel Journal of Mathematics.
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