An invitation to conformal geometry – from Gaussian curvature to Qcurvature
An invitation to conformal geometry – from Gaussian curvature to Qcurvature

Siyi Zhang, Princeton University
Fine Hall 322
In the study of surface geometry, the uniformization theorem and the GaussBonnet formula are of central importance. The former provides standard geometric models while the latter connects geometric and topological properties of a surface. In this talk, I will discuss higherdimensional generalizations of these two results in a conformalgeometry context. In particular, I will talk about the Yamabe problem, the fourdimensional GaussBonnetChern formula, and Qcurvature as important examples.