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Title:
Minimal Surface for Hitchin Representations
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Abstract:
Given a reductive representation from surface group into a Lie group $G$, there exists a equivariant harmonic map from the universal cover of a fixed Riemann surface to the symmetric space $G/K$ associated to $G$. If the Hopf differential of the harmonic map vanishes, the harmonic map is then conformal and hence minimal. In this talk, we investigate the properties of immersed minimal surfaces inside symmetric space associated to a subloci of Hitchin component: $q_n$ and $q_{n-1}$ case. This is joint work with Song Dai (Tianjin University).
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