Speaker: Emma Dooley
University of Notre Dame
Will give a Graduate Student Seminar entitled:
The Interpolation Problem
Abstract: The interpolation problem has occupied a central position in mathematics for several millennia, with roots tracing back to Ancient Greece. Roughly speaking, it asks: When can a curve of a given type pass through a collection of points? The problem has a long and rich history, with many chapters, and a complete solution has been obtained only very recently by Eric Larson and Isabel Vogt in 2022. This concrete problem motivates fundamental concepts such as moduli spaces and their properties, deformation theory, normal bundles, and more. In this talk I will give a historical introduction to the interpolation problem, and I will proceed to discuss the interpolation problem from a more modern perspective, namely Brill-Noether theory. Time permitting, I will talk about the architecture of the complete solution to the interpolation problem.
Date: 12-12-2024
Time: 2:00 pm
Location: 258 Hurley Bldg