Jun-Rong Yan

The Weyl Law Meets Large-Scale Regularity on Ricci Shrinkers

We prove that the weighted Laplacian, or equivalently its conjugate Schr\"odinger operator, on every complete gradient Ricci shrinker satisfies the classical Weyl law. The main difficulty is that uniform bounded geometry is not known for general Ricci shrinkers. To overcome this, we establish a large-scale regularity p...