Ilia Itenberg from the Sorbonne University, France, will present a colloquium titled “Real plane sextic curves without real singular points” as part of the Mathematics Department Colloquium Lecture Series.

Abstract: We will start with a brief introduction to topology of real algebraic curves, and then will discuss in more detail the case of curves of degree 6 in the real projective plane. We will show that the equisingular deformation type of a simple real plane sextic curve with smooth real part is determined by its real homological type, that is, the polarization, exceptional divisors, and real structure recorded in the homology of the covering K3-surface (this is a joint work with Alex Degtyarev).

The Math Department is a part of K-State’s College of Arts and Sciences.  To learn more about opportunities in Math at K-State, visit the math department website.