Last modified by pemattil@helsinki_fi on 2024/03/27 10:32
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1 = Currents and varifolds, fall 2011 =
2
3 === 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 ===
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5 === Lecturer ===
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7 [[Pertti Mattila>>doc:mathstatHenkilokunta.Mattila, Pertti]]
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9 === Scope ===
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11 10 cu.
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13 === Type ===
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15 Advanced studies
16 Currents and varifolds are generalized surfaces. Their theory is part of Geometric Measure Theory. They have been used in many geometric variational
17 problems, in particular in higher dimensional minimal surfaces. In the course their basic theory is presented and some applications are discussed.
18
19 === Prerequisites ===
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21 Good knowledge of Measure, Integration and Real Analysis, at least corresponding to the courses Mitta ja integraali and Reaalianalyysi I and II
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23 === Lectures ===
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25 Weeks 37-42 and 44-50, Thursday 14-16 in room C124, Friday 10-12 in room C123.
26 First lecture on Thursday, September 15.
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28 === Exams ===
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30 === Bibliography ===
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32 H. Federer, Geometric Measure Theory, Springer, 1969
33 F. Lin and X. Yang, Geometric Measure Theory, an Introduction, International Press, 2002
34 F. Morgan, Geometric Measure Theory, a Beginner's Guide, Academic Press, 1987
35 L. Simon, Lectures on Geometric Measure Theory, Australian National University, 1983
36
37 === [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57072||shape="rect"]] ===
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39 Did you forget to register? [[What to do>>doc:mathstatOpiskelu.Kysymys4]].
40 Don't worry, not necessary.
41
42 === Exercise groups ===
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44 No exercise groups.
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