Currents and varifolds, fall 2011

News: no lectures on October 13, 14 and 21, there will be lectures on October 27, 14-16, and October 28, 10-12, in C123

Lecturer

Pertti Mattila

Scope

10 cu.

Type

Advanced studies
Currents and varifolds are generalized surfaces. Their theory is part of Geometric Measure Theory. They have been used in many geometric variational
problems, in particular in higher dimensional minimal surfaces. In the course their basic theory is presented and some applications are discussed.

Prerequisites

Good knowledge of Measure, Integration and Real Analysis, at least corresponding to the courses Mitta ja integraali and Reaalianalyysi I and II

Lectures

Weeks 37-42 and 44-50, Thursday 14-16 in room C124, Friday 10-12 in room C123.
First lecture on Thursday, September 15.

Exams

Bibliography

H. Federer, Geometric Measure Theory, Springer, 1969
F. Lin and X. Yang, Geometric Measure Theory, an Introduction, International Press, 2002
F. Morgan, Geometric Measure Theory, a Beginner's Guide, Academic Press, 1987
L. Simon, Lectures on Geometric Measure Theory, Australian National University, 1983

Registration

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Exercise groups

No exercise groups.