De Rham Algebras of Closed Quasiregularly Elliptic Manifolds are Euclidean

Explore a mathematical lecture on the de Rham algebras of closed quasiregularly elliptic manifolds. Delve into the intriguing result that demonstrates how the de Rham cohomology of a closed manifold, which admits a quasiregular mapping from a Euclidean space, embeds into a Euclidean exterior algebra as a subalgebra. Discover the implications of this embedding, including a homeomorphic classification of closed simply connected 4-manifolds that admit quasiregular mapping from Euclidean space. Learn about this joint work by Pekka Pankka and Susanna Heikkilä, presented as part of the Workshop on "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" at the Erwin Schrödinger International Institute for Mathematics and Physics.

Pekka Pankka - De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean