Monodromy Conjecture and Singularities KU Leuven
The proposed research program is dedicated to studying the effect that singularities have on the geometry of algebraic varieties. One of the goals is to understand why the numbers of solutions of equations modulo prime powers seem to be predicted by the complexity of the singularities. The Monodromy Conjecture is a concrete statement of this phenomenon. This project is also related with the study of local systems, D−modules, and is related ...