PrerequisiteThe course addresses audience from different backgrounds in mathematics and theoretical physics. Only basic familiarity with algebra and representation theory as well as some elementary topology is assumed. No background in physics is formally required, but for appreciating the applications, a previous exposure to concepts of quantum mechanics and quantum field thepry will be of ava...
PrerequisiteAbstract Algebra, Number Field ThoeryAbstractAlgebraic Function thoery involves the study of the field extensions of transcendental degree one. In algebraic geometry, a function field correspondences to the function field of some algebraic curve. In number theory, a function field will play a role similar to that of a finite extension of the field of rational numbers. Also, the theo...