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Noncommutative Geometry and Semiclassical Analysis. Applications in Contact and Sub-Riemannian Geometry

组织者

舟木直久 , 吴劲松

演讲者

Raphaël Ponge

时间

2025年07月02日 17:00 至 18:00

地点

A6-101

线上

Zoom 928 682 9093 (BIMSA)

摘要

Semiclassical analysis and noncommutative geometry are two very active fields within the wide area of Quantum Theory. It’s only recently that bridges between these fields have been emerging. In this lecture, I will explain how the semiclassical Weyl’s laws ultimately helds for very large class of quantum spaces. This extends and simplifies recent results of McDonald-Sukochev-Zanin. Applications include versions of semiclassical Weyl’s laws in contact geometry and sub-Riemannian geometry, including for Shroedinger operators arising from Grushin sub-Laplacians.

演讲者介绍

Raphaël Ponge is a professor (distinguished researcher) at Sichuan University since 2019. His research interests include noncommutative geometry, global analysis, pseudodifferential operators, cyclic homology, and semiclassical analysis. He received his PhD from University of Paris-Saclay under the supervision of Prof. Alain Connes. Prior to moving to Sichuan University, he held faculty positions at Seoul National University, Tokyo University and University of Toronto. His research was published in various international journals including Advances in Mathematics, Communications in Mathematical Physics, Crelle's Journal, Journal of Functional Analysis, and Memoirs of the AMS. He received a 1,000 Talents award from Sichuan Province in 2020.