WorkshopsOn representation theory of quadratic forms
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The 11th problem, among the famous 23 problems of Hilbert, asks to determine, for two quadratic forms given, whether one represents the other. In the core of this problem lies the Local-Global Principle. In this survey talk, recent developments in two interesting topics on the principle will be introduced. One topic is about regular forms and universal forms while the other is about Hsia-Kitaoka-Kneser Theorem and its generalization.
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Myung-Hwan Kim
2012-01-17
10:20:00 - 11:10:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
The 11th problem, among the famous 23 problems of Hilbert, asks to determine, for two quadratic forms given, whether one represents the other. In the core of this problem lies the Local-Global Principle. In this survey talk, recent developments in two interesting topics on the principle will be introduced. One topic is about regular forms and universal forms while the other is about Hsia-Kitaoka-Kneser Theorem and its generalization.
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