LEADER 03337nam 22006135 450 001 9910483325303321 005 20251230065401.0 010 $a3-030-65203-3 024 7 $a10.1007/978-3-030-65203-6 035 $a(CKB)4100000011930270 035 $a(DE-He213)978-3-030-65203-6 035 $a(MiAaPQ)EBC6627570 035 $a(Au-PeEL)EBL6627570 035 $a(OCoLC)1256236467 035 $a(PPN)255882068 035 $a(EXLCZ)994100000011930270 100 $a20210517d2021 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aArithmetic L-Functions and Differential Geometric Methods $eRegulators IV, May 2016, Paris /$fedited by Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (VIII, 324 p.) 225 1 $aProgress in Mathematics,$x2296-505X ;$v338 311 08$a3-030-65202-5 327 $aPreface -- Regulator of hypergeometric fibrations -- Two recent p-adic approaches towards the (effective) Mordell conjecture -- The syntomic regulator for K2 of curves with arbitrary reduction -- Toric regulators -- Higher displays arising from filtered de Rham-Witt complexes -- Orbifold submersion and analytic torsions -- Analytic torsions, regulators and arithmetic hyperbolic manifolds -- A local re nement of the Adams-Riemann-Roch theorem in degree one -- Analytic torsion and dynamical flow: a survey on the Fried conjecture -- A survey of the additive dilogarithm. 330 $aThis book is an outgrowth of the conference ?Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods? that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: ? Additive polylogarithms ? Analytic torsions ? Chabauty-Kim theory ? Local Grothendieck-Riemann-Roch theorems ? Periods ? Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk. 410 0$aProgress in Mathematics,$x2296-505X ;$v338 606 $aNumber theory 606 $aGeometry, Differential 606 $aGeometry, Algebraic 606 $aNumber Theory 606 $aDifferential Geometry 606 $aAlgebraic Geometry 615 0$aNumber theory. 615 0$aGeometry, Differential. 615 0$aGeometry, Algebraic. 615 14$aNumber Theory. 615 24$aDifferential Geometry. 615 24$aAlgebraic Geometry. 676 $a512.73 702 $aCharollois$b Pierre 702 $aFreixas i Montplet$b Gerard 702 $aMaillot$b Vincent 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483325303321 996 $aArithmetic L-Functions and Differential Geometric Methods$91900675 997 $aUNINA