LEADER 01190nam0 22003011i 450 001 UON00160610 005 20231205103006.404 100 $a20020617d1981 |0itac50 ba 101 $ajpn 102 $aJP 105 $a||||p ||||| 200 1 $aGeino no seiritsu densho$fMisumi Haruo$gNihon Hoso Kyokai 210 $aTokyo$cNihon Hoso Shuppan Kyokai$d1981 215 $a141 p.$cill.$d21 cm 410 1$1001UON00160400$12001 $aNHK daigaku koza$v1981 4-9 606 $aTEATRO GIAPPONESE$xSTORIA$3UONC000221$2FI 620 $aJP$dTo?kyo?$3UONL000031 686 $aGIA IX H$cGIAPPONE - ARTI - MUSICA, TEATRO, CINEMA, DANZA$2A 700 0$aMISUMI Haruo$3UONV094738$0674324 712 02$aNihon Hoso Kyokai$3UONV003017 712 $aNihon Hoso Shuppan Kyokai$3UONV254117$4650 791 02$aNHK$zNihon Hoso Kyokai$3UONV003018 801 $aIT$bSOL$c20240220$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00160610 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI GIA IX H 241 $eSI SA 105298 7 241 996 $aGeino no seiritsu densho$91284308 997 $aUNIOR LEADER 05168nam 22007455 450 001 9910842293403321 005 20241213160955.0 010 $a9783031411533 010 $a3031411536 024 7 $a10.1007/978-3-031-41153-3 035 $a(MiAaPQ)EBC31200689 035 $a(Au-PeEL)EBL31200689 035 $a(MiAaPQ)EBC31203801 035 $a(Au-PeEL)EBL31203801 035 $a(DE-He213)978-3-031-41153-3 035 $a(CKB)30778858100041 035 $a(EXLCZ)9930778858100041 100 $a20240301d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Automorphic Representations $eWith a view toward trace formulae /$fby Jayce R. Getz, Heekyoung Hahn 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (611 pages) 225 1 $aGraduate Texts in Mathematics,$x2197-5612 ;$v300 311 08$a9783031411519 311 08$a303141151X 320 $aIncludes bibliographical references and index. 327 $a1. Affine Algebraic Groups -- 2. Adeles -- 3. Discrete Automorphic Representations -- 4. Archimedean Representation Theory -- 5. Representations of Totally Disconnected Groups -- 6. Automorphic Forms -- 7. Unramified Representations -- 8. Nonarchimedean Representation Theory -- 9. The Cuspidal Spectrum -- 10. Einsenstein Series -- 11. Rankin-Selberg L-functions -- 12. Langlands Functoriality -- 13. Known Cases of Global Langlands Functoriality -- 14. Distinction and Period Integrals -- 15. The Cohomology of Locally Symmetric Spaces -- 16. Spectral Sides of the Trace Formulae -- 17. Orbital Integrals -- 18. Simple Trace Formulae -- 19. Applications of Trace Formulae -- A. Groups attached to involutions of algebras -- B. The Iwasawa Decomposition -- C. Poisson Summation -- D. Alternate conventions related to adelic quotients -- Hints to selected exercises -- References -- Index. 330 $aThe goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of advanced topics, or as a reference for researchers. The reader is taken from the beginnings of the subject to the forefront of contemporary research. The journey provides an accessible gateway to one of the most fundamental areas of modern mathematics, with deep connections to arithmetic geometry, representation theory, harmonic analysis, and mathematical physics. The first part of the text is dedicated to developing the notion of automorphic representations. Next, it states a rough version of the Langlands functoriality conjecture, motivated by the description of unramified admissible representations of reductive groups over nonarchimedean local fields. The next chapters develop the theory necessary to make the Langlands functoriality conjecture precise. Thus supercuspidal representations are defined locally, cuspidal representations and Eisenstein series are defined globally, and Rankin-Selberg L-functions are defined to give a link between the global and local settings. This preparation complete, the global Langlands functoriality conjectures are stated and known cases are discussed. This is followed by a treatment of distinguished representations in global and local settings. The link between distinguished representations and geometry is explained in a chapter on the cohomology of locally symmetric spaces (in particular, Shimura varieties). The trace formula, an immensely powerful tool in the Langlands Program, is discussed in the final chapters of the book. Simple versions of the general relative trace formulae are treated for the first time in a textbook, and a wealth of related material on algebraic group actions is included. Outlines for several possible courses are provided in the Preface. 410 0$aGraduate Texts in Mathematics,$x2197-5612 ;$v300 606 $aNumber theory 606 $aTopological groups 606 $aLie groups 606 $aHarmonic analysis 606 $aGeometry, Algebraic 606 $aNumber Theory 606 $aTopological Groups and Lie Groups 606 $aAbstract Harmonic Analysis 606 $aAlgebraic Geometry 606 $aFuncions automorfes$2thub 608 $aLlibres electrònics$2thub 615 0$aNumber theory. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aHarmonic analysis. 615 0$aGeometry, Algebraic. 615 14$aNumber Theory. 615 24$aTopological Groups and Lie Groups. 615 24$aAbstract Harmonic Analysis. 615 24$aAlgebraic Geometry. 615 7$aFuncions automorfes 676 $a515.9 700 $aGetz$b Jayce R.$01732622 702 $aHahn$b Heekyoung 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910842293403321 996 $aAn Introduction to Automorphic Representations$94146975 997 $aUNINA LEADER 01824nam 2200289z- 450 001 9910908993403321 005 20240914131736.0 010 $a2-7226-0833-2 035 $a(CKB)5580000000939090 035 $a(EXLCZ)995580000000939090 100 $a20241126c2024uuuu -u- - 101 0 $aeng 200 10$aApprendre les langues aux machines /$fBenoi?t Sagot 210 $cCollège de France 311 08$a2-7226-0646-1 330 8 $a"A? l'automne 2022, le lancement de ChatGPT a installe? l'intelligence artificielle au coeur de l'actualite?. Chacun a pu s'emparer de cet agent conversationnel et prendre la mesure de sa puissance, mais son fonctionnement est reste? pour beaucoup myste?rieux. Cette lec?on inaugurale le?ve le voile sur un domaine de recherche auquel il doit son existence, le traitement automatique des langues, ou TAL. Pas a? pas, l'auteur nous conduit a? travers l'histoire du TAL afin de de?gager les enjeux actuels de cette discipline aussi ancienne que l'informatique et qui s'efforce d'apprendre les langues aux machines. Comment en est-on arrive? a? l'apprentissage automatique, aux re?seaux de neurones et aux mode?les ge?ne?ratifs ? Quels aspects e?thiques requie?rent notre vigilance face a? l'acce?le?ration de la recherche et de l'innovation? En fin de compte, ChatGPT est-il vraiment une re?volution?"--Page 4 of cover. 606 $aNatural language processing (Computer science) 606 $aComputational linguistics 606 $aArtificial intelligence 615 0$aNatural language processing (Computer science) 615 0$aComputational linguistics. 615 0$aArtificial intelligence. 700 $aSagot$b Benoi?t$01820556 906 $aBOOK 912 $a9910908993403321 996 $aApprendre les langues aux machines$94382826 997 $aUNINA