# Kelly McKinnie (University of Montana)

## Essential dimension of generic symbols

The essential dimension of an algebraic object is loosely defined as the minimal number of independent parameters needed to define the object over a base field. For example the essential dimension of the tensor product of $$n$$ generic symbol algebras $$(x_i,y_i)$$ over $$\mathbb{C}$$ is $$2n$$ as expected. In this talk I will discuss generic symbols in both characteristics $$0$$ and $$p$$ and their essential dimensions.