Lie Groups and Representation Theory
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Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2010/11/02
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Michael Eastwood (University of Adelaide)
Twistor theory and the harmonic hull (ENGLISH)
Michael Eastwood (University of Adelaide)
Twistor theory and the harmonic hull (ENGLISH)
[ Abstract ]
Harmonic functions are real-analytic and so automatically extend from being functions of real variables to being functions of complex variables. But how far do they extend? This question may be answered by twistor theory, the Penrose transform, and associated geometry. I shall base the constructions on a formula of Bateman from 1904. This is joint work with Feng Xu.
Harmonic functions are real-analytic and so automatically extend from being functions of real variables to being functions of complex variables. But how far do they extend? This question may be answered by twistor theory, the Penrose transform, and associated geometry. I shall base the constructions on a formula of Bateman from 1904. This is joint work with Feng Xu.