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

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