Modules | Area | Type | Hours | Teacher(s) | |
TEORIA GEOMETRICA DELLA MISURA/a | MAT/05 | LEZIONI | 42 |
|
At the end of this course the student should know the foundations of Geometric Measure Theory (Hausdorff measures, characterization of dimension, rectifiable sets) and some of its applications (finite perimeter sets).
Final oral examination.
At the end of the course the student should be able to understand at least the introduction of a publication on the subject. He should also be able to complete a proof starting from a sketch, and fill-in the technical details omitted in the lectures.
The standard analysis and geometry courses required for the first degree in Mathematics in Pisa, and in particular the basic theory of Measure and Integration according to Lebesgue. An advanced course on the foundations of functional analysis, including the basic theory of Sobolev spaces.
The course will consist of frontal lectures given in English.
The final exam consists of two parts: a seminar prepared by the student on a topic proposed by the teacher, and a standard ora examintation.
http://pagine.dm.unipi.it/alberti/files/didattica/didattica.html#top