Graded Jet Geometry

Explore the foundations of graded jet geometry in this Prague Mathematical Physics Seminar lecture delivered by Jan Vysoký from CTU Prague. Delve into the essential concepts needed to comprehend jets in graded geometry, setting the stage for a subsequent seminar on the topic. Begin by examining the definitions and examples of graded manifolds and graded vector bundles. Progress to an in-depth study of local operators, with a particular focus on differential operators, their key characteristics, and significant findings. This 1-hour and 17-minute presentation serves as a crucial introduction to the intricate world of graded jet geometry, providing mathematicians and physicists with the necessary tools to further their understanding of this complex subject.