LEADER 03988nam 22006972 450 001 9910809614003321 005 20151005020624.0 010 $a1-107-23237-6 010 $a0-511-98444-8 010 $a1-280-48549-3 010 $a1-139-22329-1 010 $a9786613580474 010 $a1-139-21849-2 010 $a1-139-21540-X 010 $a1-139-22501-4 010 $a1-139-22158-2 035 $a(CKB)2550000000082952 035 $a(EBL)833518 035 $a(OCoLC)775870071 035 $a(SSID)ssj0000613943 035 $a(PQKBManifestationID)11366571 035 $a(PQKBTitleCode)TC0000613943 035 $a(PQKBWorkID)10587041 035 $a(PQKB)10679748 035 $a(UkCbUP)CR9780511984440 035 $a(Au-PeEL)EBL833518 035 $a(CaPaEBR)ebr10533304 035 $a(CaONFJC)MIL358047 035 $a(MiAaPQ)EBC833518 035 $a(PPN)261277731 035 $a(EXLCZ)992550000000082952 100 $a20101125d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNon-abelian fundamental groups in Iwasawa theory /$fedited by John Coates [and others]$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (ix, 310 pages) $cdigital, PDF file(s) 225 1 $aLondon Mathematical Society lecture note series ;$v393 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-64885-8 320 $aIncludes bibliographical references. 327 $aLectures on anabelian phenomena in geometry and arithmetic / Florian Pop -- On Galois rigidity of fundamental groups of algebraic curves Hiroaki Nakamura -- Around the Grothendieck anabelian section conjecture Mohamed Sai?di -- From the classical to the noncommutative Iwasawa theory (for totally real number fields) Mahesh Kakde -- On the MH(G)-conjecture J. Coates and R. Sujatha -- Galois theory and Diophantine geometry Minhyong Kim; 7. Potential modularity -- a survey Kevin Buzzard; 8. Remarks on some locally Qp-analytic representations of GL -- (F) in the crystalline case Christophe Breuil -- Completed cohomology -- a survey Frank Calegari and Matthew Emerton -- Tensor and homotopy criteria for functional equations of -- adic and classical iterated integrals Hiroaki Nakamura and Zdzis?aw Wojtkowiak. 330 $aNumber theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the Artin-Takagi theory. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry. 410 0$aLondon Mathematical Society lecture note series ;$v393. 517 3 $aNon-abelian Fundamental Groups & Iwasawa Theory 606 $aIwasawa theory 606 $aNon-Abelian groups 615 0$aIwasawa theory. 615 0$aNon-Abelian groups. 676 $a512.7/4 686 $aMAT022000$2bisacsh 702 $aCoates$b J$g(John), 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910809614003321 996 $aNon-abelian fundamental groups in Iwasawa theory$93956807 997 $aUNINA