Igor Volovich
Cosmological singularity and $p$adic analysisAbstract
Transitions between Archimedean and nonArchimedean geometries due to fluctuations
of the number fields near the cosmological singularity are discussed. Quantization
of the Riemann zetafunction is considered and shown that the masses of
corresponding KleinGordon quantum fields are defined by zeros of the
zetafunction. Quantization
of mathematics of FermatWiles 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.
