One says that a Diophantine equation satisfies the local-global principle if the existence of 'local' solutions modulo n for all integers n is enough to ensure the existence of 'global' solutions in the integers. This does not always hold, but when it does it provides a powerful tool for solving such equations. The aim of this project is to explore analogous local-global principles in the context of algebraic groups and identify situations in which they do and do not hold for the question of divisibility.
Supervisors
Supervisor: Brendan Creutz
Does the project come with funding
No
Final date for receiving applications
Ongoing
Keywords
Number theory, algebra, geometry
