Mathematics is very much a part of our culture. This collection serves the purpose of developing the branches involved, popularizing the theories and guiding our future explorations. It aims to bring the reader to the frontier of developments in arithmetic geometry and number theory.

And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.

On Local
-Factors (D H Jiang)
Deligne Pairings over Moduli Spaces of Punctured Riemann Surfaces (K Obitsu et al.)
Vector Bundles on Curves over
p (A Werner)
Absolute CM-periods -- Complex and p-Adic (H Yoshida)
On Special Zeta Values in Positive Characteristic (J Yu)
Automorphic Forms, Eisenstein Series and Spectral Decompositions (L Weng)
Geometric Arithmetic: A Program (L Weng).