Topics in geometric analysis I
MATH-731 / 2 credits
Teacher: Troyanov Marc
Language: English
Remark: Postponed until further notice
Frequency
Every 2 years
Summary
The subject deals with differential geometry and its relation to global analysis, partial differential equations, geometric measure theory and variational principles to name a few.
Content
The subject of Geometric Analysis has appeared some 60 years ago although the name is more recent. The subject deals with differential geometry and its relation to global analysis, partial differential equations, geometric measure theory and variational principles to name a few. Geometric Analysis is at force whenever strong mathematical analysis is used to solve problems in differential geometry. The Calabi conjecture, the Yamabe conjecture and most spectacular the Poincaré conjecture all have been solved by methods from geometric analysis. The goal of this course is to introduce the student to the basic techniques of geometric analysis. The subject covered vary each year. Typical subjects will be: global analysis, Hodge theory, PDE's on Manifolds, advanced Riemannian geometry etc.
In the programs
- Exam form: Oral (session free)
- Subject examined: Topics in geometric analysis I
- Lecture: 4 Hour(s)
- Practical work: 48 Hour(s)