Tipo di tesi
Tesi di laurea magistrale
Titolo
On the essential dimension of central simple algebras
Corso di studi
MATEMATICA
Parole chiave
- central simple algebras
- essential dimension
Data inizio appello
17/07/2015
Riassunto (Italiano)
The essential dimension of an algebraic object is a formalization of the familiar concept of minimal number of 'parameters' needed to describe it and thus gives an idea of the complexity of its structure.
This thesis is concerned with the essential dimension of central simple algebras. In the first part I describe the general theory of central simple algebras and essential dimension, while in the second I present the best bounds to the essential dimension of central simple algebras obtained so far, mainly due to Z.Reichstein and A.Merkurjev.
