Around Langlands correspondences : international conference Around Langlands Correspondences, June 17-20, 2015, Université Paris Sud, Orsay, France
著者
書誌事項
Around Langlands correspondences : international conference Around Langlands Correspondences, June 17-20, 2015, Université Paris Sud, Orsay, France
（Contemporary mathematics, 691）
American Mathematical Society, c2017
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注記
Contributions in English and French
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the international conference ``Around Langlands Correspondences'', held from June 17-20, 2015, at Universite Paris Sud in Orsay, France.
The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture.
The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.
目次
N. Abe, Change of weight theorem for pro-$p$-Iwahori Hecke algebras
A.-M. Aubert, P. Baum, R. Plymen, and M. Solleveld, Conjectures about $p$-adic groups and their noncommutative geometry
I. Chatterji, Introduction to the Rapid Decay property
T. Crisp and N. Higson, A second adjoint theorem for $\textrm{SL}(2,\mathbb{R})$
J.-F. Dat, A functoriality principle for blocks of $p$-adic linear groups
A. David, Poids de Serre dans la conjecture de Breuil-Mezard
N. Imai and T. Tsushima, Affinoids in Lubin-Tate surfaces with exponential full level two
J. Lin, An automorphic variant of the Deligne conjecture
C. Moeglin and D. Renard, Paquets d'Arthur des groupes classiques complexes
A. Moussaoui, Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups
E. Nagel, From crystalline to unitary representations
A. Stasinski, Representations of $\textrm{GL}_N$ over finite local principal ideal rings: An overview
J. Tymoczko, The geometry and combinatorics of Springer fibers.
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