Alberto Cattaneo - November 3, 2017

Geometrical construction of reduced phase spaces and its application to GR
in four dimensions

The reduced phase space of a field theory is the space of its possible initial
conditions endowed with a natural symplectic structure. An alternative to Dirac's
method, relying on natural geometric aspects of variational problems, was
introduced by Kijowski and Tulczijev. This method also has the advantage of having
a natural generalization in the BV context. In this talk, I will explain the
method and describe some examples, focusing in particular on the tetradic version
of general relativity in four dimensions.