| Record ID | marc_columbia/Columbia-extract-20221130-011.mrc:263358977:2394 |
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LEADER: 02394pam a22003254a 4500
001 5440334
005 20221110034912.0
008 050422t20052005riua b 000 0 eng
010 $a 2005047833
019 $a59879803
020 $a0821838334 (acid-free paper)
035 $a(OCoLC)ocm60590122
035 $a(NNC)5440334
035 $a5440334
040 $aDLC$cDLC$dYDX$dBAKER$dOrLoB-B
042 $apcc
050 00 $aQA641$b.M34 2005
082 00 $a516.3/6$222
100 1 $aMarcolli, Matilde.$0http://id.loc.gov/authorities/names/no00093085
245 10 $aArithmetic noncommutative geometry /$cMatilde Marcolli ; with a foreword by Yuri Manin.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2005], ©2005.
300 $axi, 136 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aUniversity lecture series,$x1047-3998 ;$vv. 36
504 $aIncludes bibliographical references (p. 131-136).
505 00 $gCh. 1.$tOuverture -- $g1.$tThe NCG dictionary -- $g2.$tNoncommutative spaces -- $g3.$tSpectral triples -- $g4.$tWhy noncommutative geometry? -- $gCh. 2.$tNoncommutative modular curves -- $g1.$tModular curves -- $g2.$tThe noncommutative boundary of modular curves -- $g3.$tLimiting modular symbols -- $g4.$tHecke eigenforms -- $g5.$tSelberg zeta function -- $g6.$tThe modular complex and K-theory of C-algebras -- $g7.$tIntermezzo : chaotic cosmology -- $gCh. 3.$tQuantum statistical mechanics and Galois theory -- $g1.$tQuantum statistical mechanics -- $g2.$tThe Bost-Connes system -- $g3.$tNoncommutative geometry and Hilbert's 12th problem -- $g4.$tThe GL[subscript 2] system -- $g5.$tQuadratic fields -- $gCh. 4.$tNoncommutative geometry at arithmetic infinity -- $g1.$tSchottky uniformization -- $g2.$tDynamics and noncommutative geometry -- $g3.$tArithmetic infinity : archimedean primes -- $g4.$tArakelov geometry and hyperbolic geometry -- $g5.$tIntermezzo : quantum gravity and black holes -- $g6.$tDual graph and noncommutative geometry -- $g7.$tArithmetic varieties and L-factors -- $g8.$tArchimedean cohomology -- $gCh. 5.$tVistas.
650 0 $aNoncommutative differential geometry.$0http://id.loc.gov/authorities/subjects/sh97004788
830 0 $aUniversity lecture series (Providence, R.I.) ;$v36.$0http://id.loc.gov/authorities/names/n88540797
852 00 $bmat$hQA641$i.M34 2005