Riemannian metrics and Laplace-Beltrami operator on noncommutative tori
[TMCSC]
April 23, 2019
W303 School of Mathematics, Sichuan University
![[minicourse II]0423Raphael Ponge-01.png](http://tianyuan.scu.edu.cn/upload/default/20190415/%5Bminicourse%20II%5D0423Raphael%20Ponge-01.png "[minicourse II]0423Raphael Ponge-01.png")
SPEAKER
Raphael Ponge (Sichuan University)
ABSTRACT
In this mini-course I will review Rosenberg’s notion of Riemannian metric for noncommutative tori. I will then explain the definition of volume form and Laplace-Beltrami operator in this context. As applications, I will attempt to present versions for noncommutative tori of the microlocal Wey Law and Gauss-Bonnet theorem.
ORGANIZERS
Bohui Chen (Sichuan University)
Xiaojun Chen (Sichuan University)
Wenchuan Hu (Sichuan University)
Raphael Ponge (Sichuan University)
SUPPORTED BY
School of Mathematics, Sichuan University
Tianyuan Mathematical Center in Southwest China
VIDEOS
- Riemannian metrics and Laplace-Beltrami operator on noncommutative tori
- 16:00 - 18:00, 2019-04-23 at W303 School of Mathematics
- Raphael Ponge (Sichuan University)