Floriana Amicone

Description

Title: Modular invariants of graded Lie algebras Abstract: Let g be the Lie algebra of a reductive algebraic group G, defined over an algebraically closed field k. In many instances g admits a Z/mZ-grading, for m a nonnegative integer, and there exists a connected reductive subgroup G(0) of G acting algebraically on each graded component. The orbit structure and invariant theory for the action of G(0) on a fixed graded component have been extensively studied. Vinberg proved that, if k is of characteristic 0, the ring of invariant functions for this action is a polynomial ring. Levy generalised this result to fields of characteristic p>0 in the case in which the integers p and m are coprime, obtaining again polynomiality of invariants. My talk will be devoted to presenting some results relative to the yet untreated case of a Z/pZ-grading in characteristic p>0.

Period	7 May 2019
Visiting from	University of Mancester (United Kingdom)
Degree of Recognition	Local