Videos

Geometry and Analysis Graduate Summer School, 8

Presenter
July 30, 2014
Keywords:
  • Ricci curvature
  • Riemannian geometry
  • structure theory of Ricci equation
  • low Ricci curvature
  • stratification
  • Cheeger inequalities
MSC:
  • 53C44
  • 53C42
  • 53C25
  • 53C24
  • 53C23
  • 53C21
  • 53Cxx
  • 53-xx
  • 35J05
  • 31-xx
Abstract
Geometric and complex analysis is the application of tools from analysis to study questions from geometry and topology. This two week summer course will provide graduate students with the necessary background to begin studies in the area. The first week will consist of introductory courses on geometric analysis, complex analysis, and Riemann surfaces. The second week will consist of more advanced courses on the regularity theory of Einstein manifolds, Kahler-Einstein manifolds, and the analysis of Riemann surfaces.