Daniel Larsson: Drinfeld modules and hom-Lie algebras

Abstract: A Drinfeld module is an algebra morphism from the polynomial algebra in one variable over a finite field, to a non-commutative ring A of  "Frobenius-twisted” polynomials. This should be viewed geometrically as a sheaf of A-modules over the affine line. (The construction can be generalised to arbitrary smooth projective curves.) In this talk I will introduce the basics of Drinfeld modules (and, time permitting, also a higher-dimensional analogue called a t-motive), and how to construct hom-Lie algebras on these modules (t-motives).