Ricci flow from spaces with conical singularities

13.11.2025, 16:15 Uhr  –  Raum 1.22, Haus 9
Forschungsseminar Differentialgeometrie

Lucas Lavoyer (Münster)

In the first part of this talk, we will discuss some results on smoothing properties of the Ricci flow. In particular, we will consider the Ricci flow out of spaces with edge type conical singularities along a closed, embedded curve. Under the additional assumption that for each point of the curve, our space is locally modelled on the product of a fixed positively curved cone and a line, we show existence of a smooth Ricci flow \((M,g(t))\) for \(t \in (0,T] \), which converges back to the singular space as \(t \searrow 0\) in the pointed Gromov-Hausdorff topology. Time permitting, we will discuss further work in this direction, aiming to smooth out more general spaces with conical singularities.