Conference abstracts
Session S05 - Rings and Algebras
No date set
GENERATION OF SULLIVAN DECOMPOSABLE ALGEBRAS VIA CERTAIN PDEs
Samin Ingrith Ceron Bravo
Cauca University, Colombia - sicbravo@gmail.com
In this work we investigate properties of certain commutative differential graded algebras naturally associated to submanifolds of a infinite Jet manifold determined by finite systems of finite-order PDEs, particularly those inspired by the study of linear gauge complexes and by one-forms associated to equations of pseudo-spherical type. More explicitly, we identify linear gauge complexes as a particular type of certain twisted complexes, and we generate Sullivan decomposable algebras using hierarchies of equations of pseudo-spherical type.
Joint work with Enrique Reyes García (Universidad de Santiago de Chile, Chile).