勷勤数学•专家报告

题      目：Principal symbol calculus on contact manifold

报  告  人：Dmitriy Zanin 教授  (邀请人：范智杰)

                                             University of New South Wales

时      间： 8月14日  11：00-12:00

地     点：数科院东楼506

报告人简介:

            Dmitriy Zanin , Senior Lecturer, 工作于澳大利亚新南威尔士大学, 在Proc. London. Math.Soc., J. Reine Angew. Math., Amer. J. Math.等国际期刊发表学术论文100多篇，曾获得Australian Reseach Council的资助.

摘      要：

          Principal symbol mapping on a Heisenberg group \mathbb{H}^d is a \ast-homomorphism from the C^{\ast}-algebra generated by M_f, f\in C_0(\mathbb{H}^d) and Heisenberg-Riesz transforms. Its co-domain is the minimal tensor product of C_0(\mathbb{H}^d) and the C^{\ast}-algebra generated by the Heisenberg-Riesz transforms.

         A version of Connes trace formula for sub-Riemannian contact manifolds is presented as an application.

       This is a joint work with Yuri Kordyukov and Fedor Sukochev [published in Lecture Notes in Mathematics]