January 28
Kristopher Tapp
SUNY at Stony Brook
Abstract Title: "Finiteness Theorems in Geometry"
  Differential Geometry is the study of curved spaces. I will explain the basic objects and structures of interest in this field of math. I will then describe a celebrated theorem which states that there are only finitely many spaces capable of satisfying fixed bounds on curvature, volume and diameter. I will discuss my work extending this theorem to fiber bundles.