LEADER 03196nam 2200577 450 001 9910483325303321 005 20230421110338.0 010 $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 $a20220122d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aArithmetic L-functions and differential geometric methods $eregulators IV, May 2016, Paris /$fPierre Charollois, Gerard Freixas i Montplet, Vincent Maillot, editors 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cBirkha?user,$d[2021] 210 4$d©2021 215 $a1 online resource (VIII, 324 p.) 225 1 $aProgress in Mathematics,$x0743-1643 ;$v338 311 $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,$x0743-1643 ;$v338 606 $aL-functions$vCongresses 606 $aFuncions L$2thub 606 $aGeometria diferencial$2thub 608 $aCongressos$2thub 608 $aLlibres electrònics$2thub 615 0$aL-functions 615 7$aFuncions L 615 7$aGeometria diferencial 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