3 p.m. - 4 p.m. Location: FO 2.702
NSF Alliance Postdoctoral Fellow
North Carolina State University
Galois Theories for Functional Equations
Functions defined by systems of differential and difference equations are a principal focus of study in many areas of mathematics and physics. Understanding the algebraic properties of such functions is essential in many of their physical and mathematical applications. A fruitful approach to discovering these properties is through Galois theory, which produces a geometric object, called the Galois group, that encodes the sought properties of the solutions. I will explain how this approach is used to compute the functional relations satisfied by some concrete special functions and generating series arising in combinatorics, and describe some of my contributions in this area.
Sponsored by the Department of Mathematical Sciences