The size of the singular set of a Type I Ricci flow

Panagiotis Gianniotis (University College, London)

In this talk, I will consider a decomposition of the singular set of a
Type I Ricci flow according to the number of Euclidean factors split
by the tangent flows. It turns out that each set of this decomposition
satisfies certain volume decay estimates, as the flow approaches the
singular time. Such estimates may be seen as analogues for the Ricci
flow of classical Hausdorff dimension estimates that are valid in
other contexts, such as energy minimizing maps.