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Texas A&M University
Mathematics

Noncommutative Geometry Seminar

Date: March 12, 2021

Time: 1:00PM - 2:00PM

Location: Zoom 951 5490 42

Speaker: Asghar Ghorbanpour, University of Western Ontario

  

Title: Scalar curvature of functional metrics on noncommutative tori

Abstract: In recent years, the investigation of geometries of noncommutative tori has attracted attention from both mathematics and physics. In this talk, I will report on recent development in the study of different geometries on noncommutative tori and discuss a new family of metrics, called functional metrics, on noncommutative tori and the study of spectral invariants of geometric operators related to these metrics. My aim would be to show how some computational ideas gave us advantages, at least symbolically, in computing the invariants, among others the scalar curvature of these metrics. The talk is based on joint work with M. Khalkhali: arXiv:1811.04004 [math.QA].

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