Caleb Suan, Department of Pure Mathematics, University of Waterloo
"Monogenic Forms and Decomposition of Spinor-Valued Forms"
In this talk, we follow the text by Delanghe, Sommen, and Souček and demonstrate a splitting of the space of spinor-valued forms. We describe some important operators and their identities as well as properties of the exterior covariant derivative when restricted to certain subspaces of spinor-valued forms. Time permitting, we will define monogenic forms and some of their homological properties.