The PI and the research team intend to propose a groundbreaking project to develop theories and methods for understanding the zeta function on global and local fields. We plan to study the types of zeta functions associated with the following central hypotheses: Riemann zeta function, Dirichlet L-function, general Riemann hypothesis, Igusa local zeta function and Igusa hypotheses, zeta function Goss and versions of the Birch and Swinnerton-Dyer or Zagier-Hoffman conjectures. We also study related problems such as Galois groups or Tannaka duality, which are the main tools to learn about the zeta function and zeta value.
Main tasks of the project
The zeta function, zeta value and related topics project includes some main contents as follows:
- Learn about the zeta function, zeta value, and related issues
- Guidance for graduate and doctoral students
- Short courses and Workshops
Project impact
In this project, we will study many types of zeta functions and how to view the correlation between them through many perspectives: analysis, algebra, arithmetic and combinatorics. As presented above, the group’s results will contribute to solving many open problems in Number Theory and lead to new correlations between fields of Mathematics.
A key goal of the project is to build a strong research group of Vietnamese mathematicians in the field of Number Theory, creating long-term social and economic impact. We hope that through the project, we can quickly and sustainably form a Vietnamese research group with high qualifications and a position worthy of recognition by leading experts in the field.
