课程描述 DescriptionThe Teichmüller space of a surface is a fundamental construction in low-dimensional geometry and topology. It is a space parametrizing hyperbolic structures on the surface up to isotopy. The goal of quantum Teichmüller is to construct a quantum deformation of the algebra of functions on the classical Teichmüller space. This course will give an introduction to these ideas and...
Abstract：For the projective line over complex numbers with 4 punctures 0, 1, \infity, \lambda, where lambda is a parameter running in P^-{0, 1, \infty} we construct infinitely many rank-2 local systems with the prescribed local monodromy around those 4 punctures, which come from geometry origin. Consequently, they all are algebraic solutions of the Painleve VI equation. The method is totally d...
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