Patching and Local-Global Principles

Patching and Local-Global Principles - Julia Hartmann

Julia Hartmann
RWTH Aachen University; Member, School of Mathematics
November 5, 2012


Patching methods are usually used to construct global objects from more local ones. On the other hand, algebraic objects can sometimes be understood from their local behavior, i.e., they satisfy a local-global principle. In this talk, we explain a patching setup and how it leads to local-global principles for certain linear algebraic groups. As a motivation and guiding example we consider quadratic forms.