$K3$ surfaces and Enriques surfaces-functions of varieties over global fields; Birch-Swinnerton-Dyer conjectureAlgebraic geometryAlgebraic geometry -- Surfaces and higher-dimensional varieties -- $K3$ surfaces and Enriques surfacesAlgebraic number theory: global fieldsAlgorithms; complexityArithmetic algebraic geometry (Diophantine geometry)Arithmetical algebraic geometryAsymptotic results on arithmetic functionsCommunication, informationComputational number theoryCongressesCryptographyCurves, algebraicElliptic CurvesElliptic curves over global fieldsFinite fields and commutative rings (number-theoretic aspects)Generalized hypergeometric seriesGeometry, algebraicHypergeometric functionsInformation and communication, circuitsInformation and communication, circuits -- Communication, information -- CryptographyMultiplicative number theoryNumber theoryNumber theory -- Algebraic number theory: global fields -- PV-numbers and generalizations; other special algebraic numbers; Mahler measure