Francois Loeser

Arcs and monodromy

Abstract : Given a function on an algebraic variety, a lot of information about its monodromy can be retrieved from the study of certain spaces of arcs. We plan to discuss some of these connections between arcs and monodromy ; in particular we intend to explain how one can prove - and sometimes hope for - motivic analogues of some old results on the Hodge spectrum of singularities of functions.