Rigid Differential Equations

Topic:Rigid Differential Equations
Speaker:Dmitry Arinkin
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.