Séminaire de Géométrie Algébrique de Rennes - Exposé du 4 décembre 2003
Richard CREW (University of Florida)
Titre : Vanishing cycles in rigid cohomology
The theory of vanishing cycles is an important tool in the cohomological study of algebraic varieties, but as yet there is no such theory in rigid cohomology. In this talk I will explain one can, in certain situations where the geometry is particularly simple, construct an analogue of the spectral sequence of vanishing cycles. If time permits, I will try to discuss a conjectural construction that works in general.