We develop the theory of multiplicative Ehresmann connections for Lie groupoid submersions covering identity, as well their infinitesimal counterparts. construct obstructions to existence such connections, and we prove several interesting classes groupoids algebroids, including all proper groupoids. show that many notions from principal bundle have analogues in this general setup, 1-forms, curv...

Last year, in "Choosing Penn's Future," I reported to you my understanding of the key issues and opportunities the Universityfaces in the 1980's. At that time, I stressed that three special challenges would shape or educational planning for 1983 and beyond: undergraduate education, research excellence, and student financial assistance. This is a report on where those plans have taken us thusfar...