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Josef Dormeister ‹³Žö µ‘ҍu‰‰@ DPW method “ü–åI



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Wayne Rossmani_ŒË‘åŠwj
Tim Hoffmann iƒhƒCƒcEƒ~ƒ…ƒ“ƒwƒ“H‰È‘åŠw&‹ãB‘åŠwj
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10:15-12:00@Wayne Rossman (_ŒË‘嗝)
"Basic training for the DPW method, for graduate students (‰‰K)"
We will work through a series of problems in true ‰‰K style, for graduate students. This will not be a lecture, but rather a collection of exercises with time allowed for the graduate students to make computations. The problems will be chosen specifically for illuminating the DPW method, including exercises about the loop groups for SL2(C) and SU(2), the Iwasawa splitting, the extended frames for basic examples of CMC surfaces, and the Sym-Bobenko formula.
12:00-13:30@Lunch
13:30-14:30@Josef Dorfmeister (ƒhƒCƒcEƒ~ƒ…ƒ“ƒwƒ“H‰È‘åŠw•Žñ“s‘åŠw“Œ‹ž)
"Introduction to the loop group method of integrable surfaces"
In this talk we will give an introduction to the loop group method for the construction of certain classes of surfaces. The talk addresses a general mathematical audience. Some examples and pictures will illustrate the general theory.
14:40-15:40@¬—с@^•½iO‘O‘嗝)
"Surveys of integrable surfaces"
It is known that many classes of surfaces can be formulated by the method of integrable systems. Some of them can be constructed from the generalized Weierstrass type representation, the so-called DPW method. In this talk I shall give surveys of the DPW method for such classes of surfaces.
15:50-16:50 Josef Dorfmeister (ƒhƒCƒcEƒ~ƒ…ƒ“ƒwƒ“H‰È‘åŠw•Žñ“s‘åŠw“Œ‹ž)
"Constructions of trinoids in R^3 of genus g = 0 with embedded ends"
This talk will show how one can construct surfaces of constant mean curvature in R^3 which have embedded annular ends. Starting from sufaces of revolution we will go on to explain, how one can obtain constant mean curvature immersions from the sphere S^2 minus three puntures to R^3. We will present recent Ph.D. work of Phillip Lang classifying rotationally symmetric trinoids.If time permits we will explain the relation of this theory to hypergeometric functions.


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‚¨–â‚¢‡‚킹ie-mailj
”~Œ´@‰ëŒ°@F umehara (at) math.sci.osaka-u.ac.jp
‘åm“c@‹`—T F ohnita (at) sci.osaka-cu.ac.jp
»ì ‚Ì‚¾ & ƒ{ƒX Last updated on 2/May/2009