Project

A p-adic variant of the polynomial method

Code
31504514
Duration
01 January 2014 → 31 December 2016
Funding
Research Foundation - Flanders (FWO)
Promotor
Research disciplines
  • Social sciences
    • Applied economics
    • Economic history
    • Macroeconomics and monetary economics
    • Microeconomics
    • Tourism
Keywords
polynomial method Galois geometry
 
Project description

The polynomial method in Galois geometry refers to a method of obtaining geometrical information on a geometric structure by studying the algebraic properties of a polynomial associated to the geometric structure. However, this method has its restrictions, of which one very particular restriction is due to the fact that the polynomial is defined over a finite field, which has a non-zero characteristic. We present a new approach by associating a polynomial over the field of p-adic numbers to a geometric structure, which avoids the problem of the non-zero characteristic, and which can lead to stronger results. The proposed research is to be carried out in cooperation with prof. dr. Tam´as Sz˝onyi (E¨otv¨os Lor´and University, Budapest) and prof. dr. Simeon Ball (Universitat Polit`ecnica de Catalunya, Barcelona).