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Seminar "Complex analysis in several variables" (Vitushkin Seminar)
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Extended solutions in the noncommutative sigma-model A. V. Domrina |
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Abstract: The notion of extended solution plays a key role in Uhlenbeck's approach to the description of harmonic maps from the two-dimensional sphere to the unitary group. In this talk we transfer this notion to the case of noncommutative sigma-model (a quantized analogue of harmonic spheres in the unitary group) and use it to establish that the minimal uniton number of a diagonal solution is equal to the canonical rank of this solution. |
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