This lecture was part of the Thematic Programme on "Differential Complexes: Theory, Discretization, and Applications" held at the ESI April 20 — June 5, 2026.
Contents (of all parts):
Differential forms formally & the Rumin complex in three dimensions
Geometric interpretation and invariance properties
General BGG sequences on domains in R^n
The role of representation theory
Some comments on extension to manifolds
Function spaces & application in analysis, continuum mechanics, and finite elements
