LEADER 06228nam 2201369 450 001 9910797970703321 005 20210506031702.0 010 $a1-4008-8123-4 024 7 $a10.1515/9781400881239 035 $a(CKB)3710000000553943 035 $a(EBL)4198328 035 $a(OCoLC)934626614 035 $a(SSID)ssj0001593815 035 $a(PQKBManifestationID)16287713 035 $a(PQKBTitleCode)TC0001593815 035 $a(PQKBWorkID)14290349 035 $a(PQKB)10451754 035 $a(MiAaPQ)EBC4198328 035 $a(StDuBDS)EDZ0001756491 035 $a(DE-B1597)468646 035 $a(OCoLC)979882297 035 $a(DE-B1597)9781400881239 035 $a(Au-PeEL)EBL4198328 035 $a(CaPaEBR)ebr11140062 035 $a(CaONFJC)MIL887637 035 $a(PPN)201991365 035 $a(EXLCZ)993710000000553943 100 $a20150903d2016 uy| 0 101 0 $aeng 135 $aurnnu---|u||u 181 $ctxt 182 $cc 183 $acr 200 14$aThe p-adic Simpson correspondence /$fAhmed Abbes, Michel Gros, Takeshi Tsuji 210 1$aPrinceton, New Jersey :$cPrinceton University Press,$d2016. 215 $a1 online resource (618 p.) 225 1 $aAnnals of mathematics studies ;$vnumber 193 300 $aDescription based upon print version of record. 311 0 $a0-691-17029-0 311 0 $a0-691-17028-2 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tForeword --$tChapter I. Representations of the fundamental group and the torsor of deformations. An overview /$rAbbes, Ahmed / Gros, Michel --$tChapter II. Representations of the fundamental group and the torsor of deformations. Local study /$rAbbes, Ahmed / Gros, Michel --$tChapter III. Representations of the fundamental group and the torsor of deformations. Global aspects /$rAbbes, Ahmed / Gros, Michel --$tChapter IV. Cohomology of Higgs isocrystals /$rTsuji, Takeshi --$tChapter V. Almost étale coverings /$rTsuji, Takeshi --$tChapter VI. Covanishing topos and generalizations /$rAbbes, Ahmed / Gros, Michel --$tFacsimile : A p-adic Simpson correspondence /$rFaltings, Gerd --$tBibliography --$tIndexes 330 $aThe p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized representations of the fundamental group that are p-adically close to the trivial representation.The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The second approach introduces a crystalline-type topos and replaces the notion of Higgs bundles with that of Higgs isocrystals. The authors show the compatibility of the two constructions and the compatibility of the correspondence with the natural cohomologies. The last part of the volume contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored. The authors present a new approach based on a generalization of P. Deligne's covanishing topos. 410 0$aAnnals of mathematics studies ;$vno. 193. 606 $aGroup theory 606 $ap-adic groups 606 $aGeometry, Algebraic 610 $aDolbeault generalized representation. 610 $aDolbeault module. 610 $aDolbeault representation. 610 $aFaltings cohomology. 610 $aFaltings extension. 610 $aFaltings ringed topos. 610 $aFaltings site. 610 $aFaltings topos. 610 $aGalois cohomology. 610 $aGerd Faltings. 610 $aHiggs bundle. 610 $aHiggs bundles. 610 $aHiggs crystals. 610 $aHiggs envelopes. 610 $aHiggs isocrystal. 610 $aHiggs?ate algebra. 610 $aHodge?ate representation. 610 $aHodge?ate structure. 610 $aHodge?ate theory. 610 $aHyodo's theory. 610 $aKoszul complex. 610 $aadditive categories. 610 $aadic module. 610 $aalmost faithfully flat descent. 610 $aalmost faithfully flat module. 610 $aalmost flat module. 610 $aalmost isomorphism. 610 $aalmost tale covering. 610 $aalmost tale extension. 610 $acohomology. 610 $acovanishing topos. 610 $acrystalline-type topos. 610 $adeformation. 610 $adiscrete A?-module. 610 $afinite tale site. 610 $afundamental group. 610 $ageneralized covanishing topos. 610 $ageneralized representation. 610 $ainverse limit. 610 $alinear algebra. 610 $alocally irreducible scheme. 610 $amorphism. 610 $aoverconvergence. 610 $ap-adic Hodge theory. 610 $ap-adic Simpson correspondence. 610 $ap-adic field. 610 $aperiod ring. 610 $aringed covanishing topos. 610 $aringed total topos. 610 $asmall generalized representation. 610 $asmall representation. 610 $asolvable Higgs module. 610 $atale cohomology. 610 $atale fundamental group. 610 $atorsor. 615 0$aGroup theory. 615 0$ap-adic groups. 615 0$aGeometry, Algebraic. 676 $a512/.2 686 $aSI 830$2rvk 700 $aAbbes$b Ahmed$0510226 702 $aGros$b Michel$f1956- 702 $aTsuji$b Takeshi$f1967- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910797970703321 996 $aThe p-adic Simpson correspondence$93774825 997 $aUNINA LEADER 02826nam 22005055 450 001 9910866570903321 005 20250807140227.0 010 $a9789819726745 024 7 $a10.1007/978-981-97-2674-5 035 $a(CKB)32317232400041 035 $a(MiAaPQ)EBC31496583 035 $a(Au-PeEL)EBL31496583 035 $a(DE-He213)978-981-97-2674-5 035 $a(OCoLC)1440669499 035 $a(EXLCZ)9932317232400041 100 $a20240619d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Whirlwind History of the Universe and Mankind $eFrom the Big Bang to the Higgs Boson /$fby Thomas Sanford 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (240 pages) 225 0 $aPhysics and Astronomy Series 311 08$a9789819726738 327 $aPART I: Beginning -- 1. Introduction -- 2. Matter Universe -- 3. life -- PART II: Humans -- 4. Human Evolution -- 5. Agricultural Revolution -- 6. Mediterranean Development -- 7. Europe's Beginning -- 8. Transition: 1500-1700 (The Known World Expands) -- 9. Modernity: 1700-1900 -- PART III: Physics -- 10. Physics: 1700-1800 -- 11. Physics: 1900 -- 12. Physics: 1900-1950 -- 13. Particle Physics: 1950-2023 -- 14. Summary. 330 $aThis book is an essential read for everyone who is curious about how we humans came to exist and interested in understanding the science and social evolution that enabled us to establish that a Big Bang actually happened. The text uniquely explains the transitions between the various evolutionary plateaus: from the universe?s beginning in the Big Bang, to the emergence of Homo sapiens, highlighting the Mediterranean civilizations of Greece and Rome, the European Renaissance, the English industrial revolution, and the early European science discoveries, particularly those in physics, to the American Manhattan Project and the subsequent development of the new field of high-energy particle physics. This entire route, which eventually culminated in the discovery of the mass-giving Higgs boson, is clearly articulated in this monumental but concise work. 606 $aPhysics$xHistory 606 $aPhysics 606 $aHistory of Physics and Astronomy 606 $aConceptual Development in Physics 615 0$aPhysics$xHistory. 615 0$aPhysics. 615 14$aHistory of Physics and Astronomy. 615 24$aConceptual Development in Physics. 676 $a509 700 $aSanford$b Thomas$01802995 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910866570903321 996 $aA Whirlwind History of the Universe and Mankind$94349475 997 $aUNINA