Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Ghorbanpour, Asghar"'
Autor:
Aggarwal, Daksh, Ghorbanpour, Asghar, Khalkhali, Masoud, Lu, Jiyuan, Németh, Balázs, Yu, C Shijia
In this paper, we prove a discrete analog of the Selberg Trace Formula for the group $\text{GL}_{3}(\mathbb{F}_q).$ By considering a cubic extension of the finite field $\mathbb{F}_q$, we define an analog of the upper half space and an action of $\te
Externí odkaz:
http://arxiv.org/abs/2301.01654
Autor:
Aggarwal, Daksh1 (AUTHOR) daksh_aggarwal@brown.edu, Ghorbanpour, Asghar2 (AUTHOR) aghorba@uwo.ca, Khalkhali, Masoud2 (AUTHOR), Lu, Jiyuan3 (AUTHOR) jiyuan.lu@mail.utoronto.ca, Németh, Balázs4 (AUTHOR) bn273@cam.ac.uk, Yu, C Shijia3 (AUTHOR) cyu@math.toronto.edu
Publikováno v:
Axioms (2075-1680). Jun2024, Vol. 13 Issue 6, p381. 28p.
Autor:
Ghorbanpour, Asghar, Khalkhali, Masoud
Publikováno v:
Communications in Number Theory and Physics (CNTP), Vol. 18, No. 1, March 2024
We introduce a new family of metrics, called functional metrics, on noncommutative tori and study their spectral geometry. We define a class of Laplace type operators for these metrics and study their spectral invariants obtained from the heat trace
Externí odkaz:
http://arxiv.org/abs/1811.04004
Akademický článek
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We compute the Ricci curvature of a curved noncommutative three torus. The computation is done both for conformal and non-conformal perturbations of the flat metric. To perturb the flat metric, the standard volume form on the noncommutative three tor
Externí odkaz:
http://arxiv.org/abs/1808.02977
Autor:
Floricel, Remus, Ghorbanpour, Asghar
Given an inductive system of spectral triples $\{(A_j,\H_j,D_j)\}_j$, we find conditions under which the triple $(\limind A_j,\limind H_j,\limind D_j)$ is a spectral triple. We also analyze and describe some classical examples of spectral triples in
Externí odkaz:
http://arxiv.org/abs/1712.09621
Autor:
Ghorbanpour, Asghar, Hatzel, Michelle
Historically known as the Basel problem, evaluating the Riemann zeta function at two has resulted in numerous proofs, many of which have been generalized to compute the function's values at even positive integers. We apply Parseval's identity to the
Externí odkaz:
http://arxiv.org/abs/1709.09326
Motivated by the local formulae for asymptotic expansion of heat kernels in spectral geometry, we propose a definition of Ricci curvature in noncommutative settings. The Ricci operator of an oriented closed Riemannian manifold can be realized as a sp
Externí odkaz:
http://arxiv.org/abs/1612.06688
Publikováno v:
In Journal of Geometry and Physics August 2020 154
Akademický článek
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