This talk will concern joint work with Aaron Naber on the regularity of noncollapsed Riemannian manifolds $M^n$ with bounded Ricci curvature $|{\rm Ric}_{M^n}|\leq n-1$, as well as their Gromov-Hausdorff limit spaces, $(M^n_j,d_j)\stackrel{d_{GH}}{\longrightarrow}(X,d)$, where $d_j$ denotes the R

# Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry. Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

For more information about this seminar, contact Antonio Ache and Jeffrey Case.

**Please click on seminar title for complete abstract.**

### Seminar Events

##### Regularity of manifolds with bounded Ricci curvature and the codimension $4$ conjecture

NYU

##### TBA - Moeller

Princeton University

##### TBA - Bellettini

Cambridge University

##### TBA - Lee

University of Washington, Seattle

##### TBA - Chodosh

Stanford University