Departmental Colloquium
Izzet Coskun
Extremal Configurations of Points in the Plane
Abstract: The configuration space of n points in the plane is the space of n-unordered tuples of distinct points. Grothendieck's Hilbert scheme provides a smooth compactification of this space. In this talk, I will focus on the question: What is the most special codimension one position that n points can lie in? For example, three points are typically not collinear, but in codimension one they can be collinear. This simple question will lead us to a tour of some fun mathematics ranging from moduli spaces of stable sheaves on the plane to fractal curves and palindromic numbers. This talk is based on joint work with Jack Huizenga and Matthew Woolf.
Friday March 8, 2024 at 3:00 PM in 636 SEO