Topological aspects of matters and Langlands program (Q6572268)

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.