## EVENT DETAILS AND ABSTRACT

**Algebraic Geometry Seminar**
**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.

**Date:** Thursday, February 07, 2019

**Time:** 11:00am

**Where:** Lunt 102

**Contact Person:** Mihnea Popa

**Contact email:** mpopa@math.northwestern.edu

**Contact Phone:**

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