Topological aspects of matters and Langlands program
type: Item
instance of: scholarly article
title: Topological aspects of matters and Langlands program
author: Kazuki Ikeda
published in: Reviews in Mathematical Physics
publication date: 2024-07-15T00:00:00Z
review text: Ikeda relates various forms of duality in physics, such as the electric-magnetic duality, to the Langlands program, and examines implications for topological aspects of matter. Ikeda predicts that ``all dualities in physics are related to the Langlands program,'' and begins by recalling the setup for Geometric Langlands program. Note that at the top of page 5, the Jacobian of a complex curve is a quotient of \(\mathbb{C}^g/\Lambda\), where \(g\) need not equal 1 in general. Ikeda then gives an interpretation of Geometric Langlands in terms of physics. Statistical physics are also considered.
reviewed by: Reginald Anderson
Mathematics Subject Classification ID: 11R39
Mathematics Subject Classification ID: 14D21
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 7880917
zbMATH Keywords: Langlands correspondence
zbMATH Keywords: duality
zbMATH Keywords: quantum topology
zbMATH Keywords: topological material
MaRDI profile type: Publication
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DOI: 10.1142/S0129055X24500053
description: scientific article; zbMATH DE number 7880917