LEADER 03126nam 22004215a 450 001 9910151932703321 005 20091109150325.0 010 $a3-03719-574-6 024 70$a10.4171/074 035 $a(CKB)3710000000953848 035 $a(CH-001817-3)107-091109 035 $a(PPN)178155691 035 $a(EXLCZ)993710000000953848 100 $a20091109j20091001 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCohomological Theory of Crystals over Function Fields$b[electronic resource] /$fGebhard Bo?ckle, Richard Pink 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (195 pages) 225 0 $aEMS Tracts in Mathematics (ETM)$v9 330 $aThis book develops a new cohomological theory for schemes in positive characteristic p and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain L-functions arising in the arithmetic of function fields. These L-functions are power series over a certain ring A, associated to any family of Drinfeld A-modules or, more generally, of A-motives on a variety of finite type over the finite field Fp. By analogy to the Weil conjecture, Goss conjectured that these L-functions are in fact rational functions. In 1996 Taguchi and Wan gave a first proof of Goss's conjecture by analytic methods a? la Dwork. The present text introduces A-crystals, which can be viewed as generalizations of families of A-motives, and studies their cohomology. While A-crystals are defined in terms of coherent sheaves together with a Frobenius map, in many ways they actually behave like constructible e?tale sheaves. A central result is a Lefschetz trace formula for L-functions of A-crystals, from which the rationality of these L-functions is immediate. Beyond its application to Goss's L-functions, the theory of A-crystals is closely related to the work of Emerton and Kisin on unit root F-crystals, and it is essential in an Eichler-Shimura type isomorphism for Drinfeld modular forms as constructed by the first author. The book is intended for researchers and advanced graduate students interested in the arithmetic of function fields and/or cohomology theories for varieties in positive characteristic. It assumes a good working knowledge in algebraic geometry as well as familiarity with homological algebra and derived categories, as provided by standard textbooks. Beyond that the presentation is largely self-contained. 606 $aAnalytic number theory$2bicssc 606 $aNumber theory$2msc 606 $aAlgebraic geometry$2msc 615 07$aAnalytic number theory 615 07$aNumber theory 615 07$aAlgebraic geometry 686 $a11-xx$a14-xx$2msc 700 $aBo?ckle$b Gebhard$01065141 702 $aPink$b Richard 801 0$bch0018173 906 $aBOOK 912 $a9910151932703321 996 $aCohomological Theory of Crystals over Function Fields$92564456 997 $aUNINA LEADER 05183oam 22007094a 450 001 9910554276503321 005 20230731181601.0 010 $a1-4798-0931-4 024 7 $a10.18574/9781479809318 035 $a(CKB)5590000000458133 035 $a(DE-B1597)573993 035 $a(DE-B1597)9781479809318 035 $a(MiAaPQ)EBC6565027 035 $a(Au-PeEL)EBL6565027 035 $a(OCoLC)1249475722 035 $a(MdBmJHUP)musev2_98903 035 $a(EXLCZ)995590000000458133 100 $a20210501d2021 uy 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLatCrit$eFrom Critical Legal Theory to Academic Activism 210 1$aNew York :$d2021.$cNew York University Press, 215 $a1 online resource $c10 b/w illustrations 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tContents --$tForeword: The Gran Trecho That Is LatCrit --$tPreface --$t1 Background and Origins "LatCrit" --$t2 Foundations LatCrit Values and Guiding Principles --$t3 LatCrit Contributions to OutCrit Jurisprudence Five Substantive Highlights --$t4 Community and Method Building Zones of Critical Safety --$t5 LatCrit Praxis Personal, Collective, and "Glocal" --$t6 Critical Pedagogy Transforming Legal Education and Targeting Systemic Injustice --$t7 Designing and Sustaining Self- Governance Theory, Digital Presence, and Bricks and Mortar --$t8 Looking Ahead Staying Nimble Yet Grounded --$tAfterword El Espi?ritu de Resistencia --$tAcknowledgments --$tGeneral Discussion Questions --$tAppendix A LatCrit Self- Study --$tAppendix B LatCrit Annual/Biennial Conference Publications, 1996- 2020 --$tAppendix C International and Comparative Law Colloquium Publications, 1996- 2020 --$tAppendix D South- North Exchange Publications, 2003- 2020 --$tAppendix E Study Space Publications, 2007- 2020 --$tAppendix F Free- standing Symposium Publications and Books --$tAppendix G LatCrit Scholarship Research Toolkit Thematic Index-- List of Themes --$tAppendix H Excerpt from Mission Statement for Living Justice Institute at Campo Sano --$tNotes --$tFurther Readings --$tIndex --$tAbout the Authors 330 $aExamines LatCrit's emergence as a scholarly and activist community within and beyond the US legal academyEmerging from the US legal academy in 1995, LatCrit theory is a genre of critical outsider jurisprudence--a vital hub of contemporary scholarship that includes Feminist Legal Theory and Critical Race Theory, among other critical schools of legal knowledge. Its basic goals have been: (1) to develop a critical, activist, and inter-disciplinary discourse on law and society affecting Latinas/os/x, and (2) to foster both the development of coalitional theory and practice as well as the accessibility of this knowledge to agents of social and legal transformative change.This slim volume tells the story of LatCrit's growth and influence as a scholarly and activist community. Francisco Valdes and Steven W. Bender offer a living example of how critical outsider academics can organize long-term collective action, both in law and society, that will help those similarly inclined to better organize themselves. Part roadmap, part historical record, and part a path forward, LatCrit: From Critical Legal Theory to Academic Activismshows that with coalition, collaboration, and community, social transformation can take root. 606 $aRacism in education$2fast$3(OCoLC)fst01737534 606 $aRace discrimination$xLaw and legislation$2fast$3(OCoLC)fst01086474 606 $aDiscrimination in higher education$xLaw and legislation$2fast$3(OCoLC)fst00895079 606 $aDiscrimination in education$xLaw and legislation$2fast$3(OCoLC)fst00895042 606 $aCritical pedagogy$2fast$3(OCoLC)fst00883676 606 $aLAW / Jurisprudence$2bisacsh 606 $aCritical pedagogy$zUnited States 606 $aRace discrimination$xLaw and legislation$zUnited States 606 $aRacism in education$zUnited States 606 $aDiscrimination in higher education$xLaw and legislation$zUnited States 606 $aDiscrimination in education$xLaw and legislation$zUnited States 607 $aUnited States$2fast 615 7$aRacism in education. 615 7$aRace discrimination$xLaw and legislation. 615 7$aDiscrimination in higher education$xLaw and legislation. 615 7$aDiscrimination in education$xLaw and legislation. 615 7$aCritical pedagogy. 615 7$aLAW / Jurisprudence. 615 0$aCritical pedagogy 615 0$aRace discrimination$xLaw and legislation 615 0$aRacism in education 615 0$aDiscrimination in higher education$xLaw and legislation 615 0$aDiscrimination in education$xLaw and legislation 676 $a340.071173 700 $aValdes$b Francisco$01217678 701 $aBender$b Steven$01140280 801 0$bMdBmJHUP 801 1$bMdBmJHUP 906 $aBOOK 912 $a9910554276503321 996 $aLatCrit$92815926 997 $aUNINA