Recent progress on geometric analysis and Riemannian geometry: Ricci Curvature, Fundamental Groups, and Milnor Conjecture
Presenter
October 23, 2024
Keywords:
- mean curvature flow
- Ricci flow
- fully nonlinear flows
- general relativity
- mass
- Ricci curvature
- scalar curvature
- sectional curvature
- symmetry
- Riemannian geometry
- groups actions
- minimal surfaces
- stability
MSC:
- 35-XX - Partial differential equations
- 49-XX - Calculus of variations and optimal control
- optimization
- 53-XX - Differential geometry
- 58-XX - Global analysis
- analysis on manifolds
- 83-XX - Relativity and gravitational theory
Abstract
This seminar will examine the structure of fundamental groups on manifolds with Ricci curvature bounded below. A central focus will be Milnor's famous 1968 conjecture and the recent counterexample developed in collaboration with Naber and Semola.