University of Sydney Algebra Seminar

Kelly McKinnie (University of Montana)

Friday 18 March, 12-1pm, Place: Carslaw 375

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.