题目：Principal symbol mapping for Heisenberg groups and/or contact manifolds
报告人：Dmitriy Zanin（新南威尔士大学）
时间：4月28日（星期五），10:00-11:30
地点：明德楼B201-1
Zoom会议，会议号：882 8540 7533，密码: 028422
摘要：In this talk, I will introduce the notion of principal symbol. Firstly, in the archaic context of pseudo-differential operators, then in the general C*-algebraic context. Examples to be provided are (a) rather old ones, such as Euclidean spaces and tori (and their non-commutative analogues) and (b) very new ones, such as stratified groups (in particular, Heisenberg groups). I will also demonstrate how does the principal symbol mapping behave under the natural action of diffeomorphisms (in the Euclidean case) and Heisenberg diffeomorphisms (in the Heisenberg group case). This is needed to extend the notion of the principal symbol to the manifolds (from Euclidean case) and to the contact manifolds (from the Heisenberg case). Corresponding globalization theorems will be provided. As an application, I will present the Connes Trace Theorem (including, in particular, the spectrally correct sub-Riemannian volume).
更多相关信息请参见泛函分析研讨班网页。
