## Geometry Seminar - Abstracts

### Talk

Tuesday 25 February 2020, 15:30-16:30 in HG02.802

**Florian Zeiser** (RU)

*The Poisson cohomology of \(\mathrm{sl}_2(\mathbb{C})\)*

### Abstract

To a Poisson manifold \((M,\pi)\) one can naturally associated a
cohomology called Poisson cohomology. Although Poisson cohomology
is important for questions such as linearization and deformations
of poisson structures, it is in general quite difficult to compute
it. In this talk we define Poisson cohomology. We look at its
relation to the linearization problem and outline the general
ideas behind the calculation of Poisson cohomology for
\(\mathrm{sl}_2(\mathbb{C})\). This is based on joint work with Ioan Marcut.

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