EVENT DETAILS AND ABSTRACT

Title: Atiyah Class and Hochschild Cohomology
Speaker: Paul Bressler
Speaker Info: Indiana University
Brief Description:
Special Note: Special Session (Please note room change)
Abstract:

The Atiyah class of the tangent bundle T endows the (shifted) tangent bundle T[-1] with a canonical structure of a Lie algebra object in the derived category of coherent sheaves. This structure was lifted by Kapranov to an L-infinity structure on T[-1]. I will sketch an alternative construction of an L-infinity structure and its relationship to the DGA of Hochschild cochains on the structure sheaf.