### Pure Math Graduate Student Seminar: Jack Reever, NC State, Isothermic Surfaces and Bonnet Pairs: How Are They Defined? Do They Have Special Properties? Let’s Find Out!

### Pure Math Graduate Student Seminar: Jack Reever, NC State, Isothermic Surfaces and Bonnet Pairs: How Are They Defined? Do They Have Special Properties? Let’s Find Out!

In this talk, we begin by introducing the audience to some fundamentals of differential geometry of surfaces in ℝ3, focusing on curvature and the adequately named first and second fundamental forms. We will discuss what special parameterizations and properties give rise to isothermic surfaces. Equipped with these tools, we will look at the fundamental theorem for surfaces,…