Hochschild cohomology of Fano 3-folds

Abstract: The Hochschild-Kostant-Rosenberg decomposition gives a description of the Hochschild cohomology of a smooth projective variety in terms of the sheaf cohomology of exterior powers of the tangent bundle. In all but a few cases it is a non-trivial task to compute this decomposition, and understand the extra algebraic structure which exists on Hochschild cohomology. I will give a general introduction to Hochschild cohomology and this decomposition, and explain what it looks like for Fano 3-folds (joint work with Enrico Fatighenti and Fabio Tanturri), and time permitting also for partial flag varieties (joint work with Maxim Smirnov).

mathematical physicsalgebraic geometrycomplex variablesdifferential geometrygeometric topologyquantum algebrasymplectic geometry

Audience: researchers in the topic

Emmy Noether Kolloquium Mainz