## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Igor Volovich

### Cosmological singularity and $p$-adic analysis

Abstract

Transitions between Archimedean and non-Archimedean geometries due to fluctuations of the number fields near the cosmological singularity are discussed. Quantization of the Riemann zeta-function is considered and shown that the masses of corresponding Klein-Gordon quantum fields are defined by zeros of the zeta-function. Quantization of mathematics of Fermat-Wiles and the Langlands program is indicated. The string theory partition function is expressed in terms of $L-$function of a motive. The conjectures on the values of $L-$functions of motives are interpreted as dealing with the cosmological constant problem.