I will present main concepts and ideas of two dimensional adelic analysis on regular models of elliptic curves over global fields and discuss its application to meromorphic continuation and functional equation of the zeta function (mean periodicity hypothesis as a weak form of the Taniyama conjecture), its GRH (positivity of the fourth derivative near zero) and the BSD conjecture (a new method to prove its rank part). The talk will have an emphasis on concrete arithmetic and analytic objects which come naturally from the adelic analysis, and it will include computational results obtained via pari. For a beamer-latex pdf file of a 90 minutes more advanced talk on 2d adelic analysis programme please see
http://www.maths.nott.ac.uk/personal/ibf/t1.pdf