Evgeny Mukhin
Purdue, USA
Gaudin model.
Abstract: The algebraic Bethe Ansatz is a physics motivated method of diagonalizaing appropriate linear operators. We apply this method to the study of the celebrated Gaudin model. In most cases the Bethe ansatz either is highly inefficient or does not work. However, the study of the Bethe Ansatz leads to many stunning connections to many areas of mathematics and to a better understanding of the Gaudin model itself.