# Slovák J. Generalized Wünsch calculus for parabolic geometries (abstract)

**Speaker**: Jan Slovák

**Title**: Generalized Wünsch calculus for parabolic geometries
**Abstract**:

The class of parabolic geometries includes many well known and useful examples, like conformal, CR, quaternionic etc. They all enjoy an affine space of distinguished connections modelled on 1-forms [math]\displaystyle{ \Upsilon }[/math]. Long ago, efficient techniques were developed in the conformal geometry to deal with differential operators in terms of these connections, invariantly of the choice. The approach formalized by Volkmar Wünsch constructs operators which depend on the choice of the connection only algebraically in terms of [math]\displaystyle{ \Upsilon }[/math]. The aim of this talk is to clarify this technique in a very different picture and to extend it to all parabolic geometries.

**Event:** Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.*Alexandre Vinogradov Memorial Conference.*