目次

Preface.- 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.