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A character variety of a group G is the space of all representations of G into a fixed Lie group, considered up to conjugation.Character varieties appear in many ways in mathematics and physics, particularly as moduli spaces of hyperbolic and other geometric structures, as the moduli spaces of flat connections (with important applications to some quantum field theories and to quantum topology), and as a fundamental tool in the study of incompressible surfaces in 3-manifolds. We will provide an introduction to character varieties, including some new results.

Please note the slightly unusual time. (This is no mistake.)