Mathematisches Kolloquium
Am Donnerstag, 11.01.2024 um 16:30 Uhr spricht
Tamas Szamuely
(Universität Pisa
)
im Hörsaal über das Thema
Tate-Shafarevich groups: old and new
Abstract: Tate-Shafarevich groups measure the obstruction to the solvability of certain types of (systems of) polynomial equations in several variables over the field Q of rational numbers. They are also connected to some deep conjectures in arithmetic geometry. Recently, analogues have been studied over other fields such as Q(t), the field of rational functions with rational coefficients. In my lecture I shall present classical and recent aspects of this fascinating subject.