Selected Topics in Geometric Topology and Higher Teichmüller theory
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We introduce the advanced topics on the (higher) Teichmuller theory by starting from the very beginning. The first two topics are: 1) We start from Riemann/hyperbolic surface, Teichmuller space, moduli space. Then we introduce the Mirzakhani's integration on the volume of the moduli space and related topics. 2) Fock--Goncharov duality and higher geodesic measure lamination from webs. We start from introducing geodesic measure lamination on Riemann surface and the surface group representations.
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