报告人：员含章（Washington University in St. Louis)

时间：2026年7月1日，16:30-17:30

地点：二教2206

标题：Heisenberg Calculus and the Weyl Law for Rockland Operators

摘要：Classical pseudodifferential calculus provides a powerful framework for studying the spectral theory of elliptic operators. However, many geometric operators, such as sub-Laplacians on contact manifolds, are not elliptic in the classical sense. Their analysis requires a different framework, namely the Heisenberg calculus.

In this talk, I will give an introduction to the Heisenberg calculus, focusing on Heisenberg principal symbols, the Rockland condition as a substitute for ellipticity, and the noncommutative residue. I will then discuss the Weyl law for positive Rockland operators and outline an alternative proof based on a generalization of Guillemin’s approach to the Weyl law.