|Topic:||Rigid Differential Equations|
|Affiliation:||University of North Carolina|
|Date:||Wednesday, November 14|
|Time/Room:||3:00pm - 4:00pm/S-101|
We study systems of linear ordinary differential equations dy/dz=A(z)y, where A is a matrix-valued rational function of z. By definition, such equation is rigid if it is uniquely determined by the type of its singularities. Our goal is to provide a classification of rigid equations. If all singularities of A are regular, this was done by N.Katz; we extend his results to arbitrary A.