# Joint IAS/PU Analysis Seminar

## Generalized Cylinder Limits of Ricci Flow Singularities

We study multiply warped product geometries MN:=Bn×Fn1×···×FnA

g = g_B + \sum_{a=1}^A v_a^2 g_{F^{n_a}} and show that for an open set of initial data within multiply warped product geometries the Ricci flow starting at any of those develops generalized cylinder as singularity model. More precisely, for any p and q we construct an open set of initial data within multiply warped product geometris whose Ricci flows develop S^p\times R^q as a singularity model.

### Date & Time

April 19, 2024 | 2:30pm – 3:30pm

### Location

Simonyi Hall 101 and Remote Access### Speakers

Natasa Sesum, Rutgers University