A talk in the Bielefeld Stochastic Afternoon series by Yvain Bruned from Imperial College London
The Geometric KPZ gives a natural evolution on the space of loops with values in a Riemannian Manifold.
The equation is ill-posed and needs advanced techniques like the theory of regularity structures for its resolution.
A magic cancellation occurs and no renormalisations appear at the level of the equation.
We will explain how to get the dimension of the space of the solutions.
Within the CRC this talk is associated to the project(s): A5, B1, B2, B3