AbstractI will review four-dimensional gravity in the coframe-and-connection formulation (a.k.a. Palatini–Cartan formalism) and what it entails on boundaries (e.g., on Cauchy surfaces) and on corners (e.g., surfaces at infinity or surfaces around singularities in space). This full analysis will require the BV, the BFV and related formalisms and their interplay.About the speakerAlberto Cattaneo...
AbstractThe curvature tensor captures the essential geometry of a Riemannian manifold. Curvaturebounds have important geometric, analvtical and topoloaical conseauences, in tum. these can beused for axiomatic characterizations of curvature bounds and extended to general metric spaces.Problems of modemn data analysis lead to a new perspective on curvature that will bedeveloped in this lecture, a...