EVENT DETAILS AND ABSTRACT

Title: Extending holomorphic forms from the regular locus of a complex space
Speaker: Sebastián Olano
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

The extension problem of holomorphic forms is the following: Let r: Y \to X be a resolution of singularities of a reduced complex space, and E the exceptional set of the map. Given an open set U of X, when is it true that any holomorphic p-form defined on r^{-1}(U) \ E extends to a holomorphic p-form on r^{-1}(U)? I will present the result of Kebekus and Schnell, which basically says that if it is true for n-forms, it is true for all p-forms. I will also present an extension of the result to logarithmic p-forms, and how can it be applied to obtain a local vanishing theorem on varieties with rational singularities.