Algebraic Geometry Seminar
Wim Veys
Leuven
Zeta functions and monodromy
Abstract: To a p-adic or complex polynomial f one associates
its p-adic Igusa zeta function, motivic or topological zeta function.
There is an intriguing 'monodromy conjecture', predicting that poles of
these zeta functions induce eigenvalues of the local monodromy of f.
Up to now the conjecture is proven only for polynomials in two variables.
We want to report on quite general results for polynomials f in three
variables, and mention the link with certain configurations of plane curves
and with principal value integrals.
Tuesday April 15, 2008 at 3:00 PM in SEO 512