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...
AbstractIt would be useful to deal with complex geometry when examining quantum gravity as in the case of no-boundary proposal by Hartle and Hawking. However, there would be too many saddles for complexified gravity, and it is necessary to determine which are allowable geometries in the sense of Witten. We consider three-ddimensional gravity theory with positive consmological constant described...