Lost Theorems of Geometry

Graduate Student Colloquium
Friday, January 27, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 171
Katherine Booth – Georgia Tech
Trevor Gunn

Most of us have been taught geometry from the perspective of equations and how those equations act on a given space. But in the 1870’s, Felix Klein’s Erlangen program was more concerned about the maps that preserved the geometric structures of a space rather than the equations themselves. In this talk, I will present some modern results from this perspective and show details of how to reconstruct the equations that preserve geometric structures.