Spring 2017 MATH 277 001 LEC
Topics in Differential Geometry
Schedule:
| Section | Days/Times | Location | Instructor | Class |
|---|---|---|---|---|
| 001 LEC | TuTh 2:00PM - 3:29PM | Evans 5 | Richard Bamler | 18351 |
| Units | Enrollment Status |
|---|---|
| 4 | Open |
Additional Information:
Prerequisites: Consent of instructor
Description: Geometric and analytic aspects of Ricci curvature
Possible Topics:
- Bishop-Gromove Volume Comparison and applications,
- Cheeger-Gromoll Splitting,
- Geometric convergence under curvature and injectivity radius bounds,
- diffeomorphism finiteness,
- convergence theory of Einstein metrics,
- Cheeger’s Diffeomorphism Stability Theorem,
- analytic estimates on spaces with lower Ricci curvature bounds (heat kernel bounds, gradient estimates for harmonic functions),
- Perelman’s Topological Stability Theorem,
- Colding’s Volume Convergence Theorem,
- Cheeger-Colding’s Cone Rigidity Theorem,
- structure theory of geometric limits of spaces with lower Ricci curvature bounds
Office: Evans 705
Office Hours:
Required Text:
Recommended Reading:
Grading: Letter grade.
Homework:
Course Webpage:
