Department of Mathematics: Algebra and Geometry Ghent University
Algebra KU Leuven
NUMBER THEORY AND ALGEBRAIC GEOMETRY
1) Study of the number of solutions of polynomial equations in several variables over finite fields and residue class rings, with emphasis on the relation to geometric and topological invariants of the equations, Igusa's local zeta function, p-adic exponential sums.
2) Connections between (1) and the theory of singularities, resolution of singularities, Log Minimal Model Program, topological ...
Rudi Penne University of Antwerp
Michel Lavrauw Vrije Universiteit Brussel
Dirk Vandepitte KU Leuven
Marc Coppens KU Leuven
Mathematics-TW Vrije Universiteit Brussel
The main research topics of the department WISK are: 1. p-adic analysis The functions studied in the mathematical analysis have real and complex values. One can replace the real or complex numbers by other numbers: the p-adic numbers (p is a prime). These numbers have properties that are rather different from the properties of real numbers. For instance when calculating with p-adic numbers rounding errors do not occur. The analysis built on ...