Olivetti Club

Sara StephensCornell University
‘GIT’-ing the Hang of a Moduli Problem

Tuesday, December 6, 2022 - 5:15pm
Malott 406

A major theme in many areas of mathematics is classification—how can we identify families of objects? In this talk, I will outline the algebraic geometry approach to a classification problem, known as a moduli problem. I’ll describe what a moduli problem is and explain a few geometric examples involving circles and triangles. Afterwards, we will discuss a classical approach to handling moduli problems through constructing quotients by group actions, known as Geometric Invariant Theory (GIT). I hope to keep this talk accessible to those without any algebraic geometry background.