Shubham Dwivedi (Hamburg and Berlin) will speak in the geometry seminar on 30th January. Note this is a Tuesday, so not our normal day! Shubham’s title is “Geometric flows of G2-structures” and his abstract is below.
We will discuss a family of flows of G2-structures on seven dimensional Riemannian manifolds. These flows are negative gradient flows of natural energy functionals involving various torsion components of G2-structures. We will prove short-time existence and uniqueness of solutions to the flows and a priori estimates for some specific flows in the family. Time permitting, we will discuss some future problems. This talk is based on joint work with Panagiotis Gianniotis and Spiro Karigiannis (arXiv:2311.05516)