On conjugacy of Cartan subalgebras in extended affine Lie algebras and classification of torsors over Laurent polynomial rings

Abstract: The conjugacy of split Cartan subalgebras in the finite-dimensional simple Lie algebras (Chevalley theorem) and in the symmetrizable Kac-Moody Lie algebras (Peterson-Kac theorem) are fundamental results of the theory of Lie algebras. In this talk we will discuss how the problem of conjugacy for a class of Lie algebras called extended affine Lie algebras (that are in a precise sense higher nullity analogues of the affine Kac-Moody Lie algebras) interwind with the classification of torsors of reductive group schemes over Laurent polynomial rings.

algebraic geometrydifferential geometrygroup theorygeometric topologynumber theory

Audience: general audience

International Conference on Discrete groups, Geometry and Arithmetic

Series comments: Selected participants have been informed through email. Kindly check the 'promotions tab' or the 'spam folder', as some of our emails may land in your spam folder due to bulk emailing from our end.