Seminars & Lectures
| * TITLE | Affine sphere equation, Hitchin system and Painleve III | ||||||
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| * DATE / TIME | 2009-09-30, 2:30pm | ||||||
| * PLACE | Conference room 503, APCTP Headquarters, | ||||||
| * ABSTRACT | |||||||
| We give a gauge invariant characterisation of a symmetry reduction from the anti-self-dual Yang-Mills system on $R^4$ with gauge group $SU(2,1)$ to the affine sphere equation \\[ \\psi_{z \\bar z} + 1/2 e^{\\psi} + |U|^2 e^{-2\\psi} = 0,\\quad U_{\\bar z}=0, \\] which arises in the context of Strominger-Yau-Zaslow conjecture in Mirror Symmetry. The radially symmetric solutions of the affine sphere equation are characterised by solutions of the Painleve III equation with special values of parameters. | |||||||
