Coursebooks 2017-2018

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Topics in geometric analysis I

MATH-731

Lecturer(s) :

Troyanov Marc

Language:

English

Frequency

Every 2 years

Remarque

Next time: Spring 2018

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.

Resources

Websites

In the programs

    • Semester
    • Exam form
       Oral
    • Credits
      2
    • Subject examined
      Topics in geometric analysis I
    • Lecture
      4 Hour(s)
    • Practical work
      24 Hour(s)

Reference week

 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German