“A local-global problem for divisibility in algebraic groups”
Martedì 21 Novembre 2023, ore 17:00 - Aula 2AB40 - Jessica Alessandrì (Università degli Studi dell'Aquila)
In this talk, we will present a local-global problem, arising from the Hasse principle for quadratic forms, called the Local-Global Divisibility Problem for commutative algebraic groups. It was first stated in 2001 by Dvornicich and Zannier, who also gave a cohomological interpretation of the problem. We will also see some results, in particular for algebraic tori: a generalization of the Grunwald-Wang Theorem to any algebraic tori with bounded dimension and a counterexample for the local-global divisibility by any power of an odd prime.
joint work with Rocco Chirivì and Laura Paladino.