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Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. (English) Zbl 1414.20001

Proceedings of Symposia in Pure Mathematics 101. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4284-2/hbk; 978-1-4704-5157-8/ebook). x, 450 p. (2019).

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Publisher’s description: This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem.
The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of \(p\)-adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.
The articles of this volume will be reviewed individually.
Indexed articles:
Bezrukavnikov, Roman; Kazhdan, David, Character values and Hochschild homology, 1-29 [Zbl 1471.22012]
Braverman, Alexander; Kazhdan, David, Schwartz space of parabolic basic affine space and asymptotic Hecke algebras, 31-43 [Zbl 1471.22013]
Bushnell, Colin J.; Henniart, Guy, Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case, 45-72 [Zbl 1471.22014]
Chen, Tsao-Hsien; Gaitsgory, Dennis; Yom Din, Alexander, On the Casselman-Jacquet functor, 73-112 [Zbl 1468.14041]
Gan, Wee Teck, Periods and theta correspondence, 113-132 [Zbl 1481.11046]
Gourevitch, Dmitry; Sahi, Siddhartha, Generalized and degenerate Whittaker quotients and Fourier coefficients, 133-154 [Zbl 1469.20046]
Gruson, Caroline; Serganova, Vera, Geometric approach to the fermionic Fock space, via flag varieties and representations of algebraic (super)groups, 155-169 [Zbl 1478.17007]
Henniart, G.; VignĂ©ras, M.-F., Representations of a \(p\)-adic group in characteristic \(p\), 171-210 [Zbl 1469.22007]
Lapid, Erez, On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-Archimedean field, 211-218 [Zbl 1469.11146]
Lusztig, G., On the generalized Springer correspondence, 219-253 [Zbl 1481.20179]
Ollivier, Rachel; Schneider, Peter, The modular pro-\(p\) Iwahori-Hecke Ext-algebra, 255-308 [Zbl 1470.22005]
Opdam, Eric, Affine Hecke algebras and the conjectures of Hiraga, Ichino and Ikeda on the Plancherel density, 309-350 [Zbl 1469.20007]
Reznikov, Andre, Limiting cycles and periods of Maass forms, 351-359 [Zbl 1465.11117]
Xiao, Liang; Zhu, Xinwen, On vector-valued twisted conjugation invariant functions on a group; with an appendix by Stephen Donkin, 361-425 [Zbl 1469.20049]
Zhu, Chen-Bo, Local theta correspondence and nilpotent invariants, 427-450 [Zbl 1471.22011]

MSC:

20-06 Proceedings, conferences, collections, etc. pertaining to group theory
20G05 Representation theory for linear algebraic groups
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
20G25 Linear algebraic groups over local fields and their integers
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
20C33 Representations of finite groups of Lie type
11F70 Representation-theoretic methods; automorphic representations over local and global fields
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Bernstein, Joseph
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