LEADER 03383nam 22004093 450 001 996601572803316 005 20240525060217.0 010 $a3-031-55914-2 035 $a(MiAaPQ)EBC31352504 035 $a(Au-PeEL)EBL31352504 035 $a(CKB)32141991600041 035 $a(EXLCZ)9932141991600041 100 $a20240525d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe P-Adic Simpson Correspondence and Hodge-Tate Local Systems 205 $a1st ed. 210 1$aCham :$cSpringer,$d2024. 210 4$d©2024. 215 $a1 online resource (450 pages) 225 1 $aLecture Notes in Mathematics Series ;$vv.2345 311 $a3-031-55913-4 327 $aIntro -- Preface -- Contents -- Chapter 1 An Overview -- 1.1 Introduction -- 1.2 Faltings Topos -- 1.3 Local Theory. The Torsor of Deformations -- 1.4 Global Theory. Dolbeault Modules -- 1.5 Functoriality of the p-adic Simpson Correspondence by Proper Direct Image -- 1.6 Relative Faltings Topos -- Chapter 2 Preliminaries -- 2.1 Notation and Conventions -- 2.2 Reminder on a Construction by Fontaine-Grothendieck -- 2.3 Fontaine Universal -- -adic Infinitesimal Thickenings -- 2.4 Logarithmic Infinitesimal Thickenings -- 2.5 Higgs Modules and -connections -- 2.6 Ind-objects of a Category -- 2.7 Ind-modules -- 2.8 Higgs Ind-modules and -connections -- 2.9 Modules up to Isogeny -- 2.10 Complement on the Functoriality of Generalized Covanishing Topos -- Chapter 3 The p-adic Simpson Correspondence and Hodge-Tate Modules. Local Study -- 3.1 Assumptions and Notation. -- -adic Infinitesimal Deformations -- 3.2 Torsors and Higgs-Tate Algebras -- 3.3 Dolbeault Representations -- 3.4 Small Higgs Modules -- 3.5 Hodge-Tate Representations -- Chapter 4 The -adic Simpson Correspondence and Hodge-Tate Modules. Global Study -- 4.1 Assumptions and Notation -- 4.2 Higgs Modules -- 4.3 Faltings Topos -- 4.4 Higgs-Tate Algebras in Faltings Topos -- 4.5 Dolbeault ind-modules -- 4.6 Dolbeault Q-modules -- 4.7 Cohomology of Dolbeault ind-modules -- 4.8 Dolbeault Modules Over a Small Affine Scheme -- 4.9 Pullback of a Dolbeault ind-module by an Étale Morphism -- 4.10 Stacky Properties of Dolbeault Modules -- 4.11 Hodge-Tate Modules -- 4.12 Dolbeault and Hodge-Tate Local Systems -- Chapter 5 Relative Cohomologies of Higgs-Tate Algebras. Local Study -- 5.1 Assumptions and Notation. Review of Relative Galois Cohomology -- 5.2 Relative Galois Cohomologies of Higgs-Tate Algebras -- 5.3 Relative Dolbeault Cohomology of Higgs-Tate Algebras. 327 $aChapter 6 Relative Cohomology of Dolbeault Modules -- 6.1 Assumptions and Notation. Relative Faltings Topos -- 6.2 Base Change -- 6.3 Functoriality of Higgs-Tate algebras in Faltings Topos -- 6.4 Cohomological Computations -- 6.5 Relative Cohomology of Dolbeault ind-modules -- Errata and Addenda to "The -adic Simpson Correspondence" -- A) Misprints -- B) Errata -- References -- Index. 410 0$aLecture Notes in Mathematics Series 700 $aAbbes$b Ahmed$0510226 701 $aGros$b Michel$01307890 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996601572803316 996 $aThe P-Adic Simpson Correspondence and Hodge-Tate Local Systems$94165767 997 $aUNISA LEADER 04711nam 22005055 450 001 9910300620803321 005 20200703152541.0 010 $a3-319-77320-8 024 7 $a10.1007/978-3-319-77320-9 035 $a(CKB)4100000003359521 035 $a(MiAaPQ)EBC5356134 035 $a(DE-He213)978-3-319-77320-9 035 $a(EXLCZ)994100000003359521 100 $a20180417d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInterpreting Plato Socratically $eSocrates and Justice /$fby J. Angelo Corlett 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (249 pages) 311 $a3-319-77319-4 320 $aIncludes bibliographical references and index. 327 $aPreface -- Introduction,- Chapter 1: Interpreting Plato Socratically,- Chapter 2: Defending The Socratic Interpretation of Plato?s Dialogues -- Chapter 3: In Defense of Socratic Studies -- Chapter 4: Socrates and Distributive Justice -- Chapter 5: Legal Obligation in Plato?s Crito -- Chapter 6: The Socratic Roots of Retributivism -- Chapter 7: Socrates and Compensatory Justice -- Conclusion -- Appendix I: Gerson on Cherniss On Aristotle On Plato -- Appendix II: The Concept of Art of Mimêsis in Plato?s Dialogues -- additional Bibliography -- Index. 330 $aJ. Angelo Corlett?s new book, Interpreting Plato Socratically continues the critical discussion of the Platonic Question where Corlett?s book, Interpreting Plato?s Dialogues concluded. New arguments in favor of the Mouthpiece Interpretation of Plato?s works are considered and shown to be fallacious, as are new objections to some competing approaches to Plato?s works. The Platonic Question is the problem of how to approach and interpret Plato?s writings most of which are dialogues. How, if at all, can Plato?s beliefs, doctrines, theories and such be extracted from dialogues where there is no direct indication from Plato that his own views are even to be found therein? Most philosophers of Plato attempt to decipher from Plato?s texts seemingly all manner of ideas expressed by Socrates which they then attribute to Plato. They seek to ascribe to Plato particular views about justice, art, love, virtue, knowledge, and the like because, they believe, Socrates is Plato?s mouthpiece throughout the dialogues. But is such an approach justified? What are the arguments in favor of such an approach? Is there a viable alternative approach to Plato?s dialogues? In this rigorous account of the dominant approach to Plato?s dialogues, there is no room left for reasonable doubt about the problematic reasons given for the notion that Plato?s dialogues reveal either Plato?s or Socrates? beliefs, doctrines or theories about substantive philosophical matters. Corlett?s approach to Plato?s dialogues is applied to a variety of passages throughout Plato?s works on a wide range of topics concerning justice. In-depth discussions of themes such as legal obligation, punishment and compensatory justice are clarified and with some surprising results. Plato?s works serve as a rich source of philosophical thinking about such matters. A central question in today?s Platonic studies is whether Socrates, or any other protagonist in the dialogues, presents views that the author wanted to assert or defend. Professor Corlett offers a detailed defense of his view that the role of Socrates is to raise questions rather than to provide the author?s answers to them. This defense is timely as intellectual historians consider the part played by Academic scholars centuries after Plato in systematizing Platonism. J. J. Mulhern, University of Pennsylvania. 606 $aPhilosophy 606 $aPhilology 606 $aPhilosophy, Ancient 606 $aHistory of Philosophy$3https://scigraph.springernature.com/ontologies/product-market-codes/E15000 606 $aClassical Studies$3https://scigraph.springernature.com/ontologies/product-market-codes/728000 606 $aClassical Philosophy$3https://scigraph.springernature.com/ontologies/product-market-codes/E12000 615 0$aPhilosophy. 615 0$aPhilology. 615 0$aPhilosophy, Ancient. 615 14$aHistory of Philosophy. 615 24$aClassical Studies. 615 24$aClassical Philosophy. 676 $a184 700 $aCorlett$b J. Angelo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0597278 906 $aBOOK 912 $a9910300620803321 996 $aInterpreting Plato Socratically$92124605 997 $aUNINA