**SMS scnews item created by Boris Lishak at Tue 6 Aug 2019 1437**

Type: Seminar

Distribution: World

**Calendar1: 12 Aug 2019 1100-1200**

**CalLoc1: Carslaw 535A**

CalTitle1: Jiang -- Regularity and singularity of Ricci curvature and related applications

Auth: borisl@dora.maths.usyd.edu.au

### Geometry and Topology Seminar

# Regularity and singularity of Ricci curvature and related applications

### Wenshuai Jiang (Sydney)

August 12, 11:00-12:00 in Carslaw 535
Seminar schedule
Please join us for lunch. We are meeting at 13:05 on Carslaw level 2.

**Abstract:**
In this talk, we will consider Gromov-Hausdorff limit of noncollapsed n-manifolds with lower Ricci curvature bound. It was proved by Cheeger-Colding that the limit space has a regular-singular decomposition such that the singular set has Hausdorff codimension at least 2. In a joint work with Professor Jeff Cheeger and Professor Aaron Naber, we can show that the singular set is (n-2)-rectifiable, and we obtain quantitative estimate of the singular set. As related applications, we will discuss the Bergman kernel estimate of Fano manifold and Nodal set of harmonic functions.