Solutions of Korteweg–de Vries hierarchy and Novikov's n-equations in terms of multidimensional sigma functions

In the talk we will describe the parametric Korteweg–de Vries hierarchy and its connections to the canonical Korteweg–de Vries hierarchy and Novikov's n-equations. We will give an algebraic description of this hierarchy. We will describe a series of it's solutions determined in terms of multidimensional sigma functions.