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The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (comb

"The subject of these notes is the character variety of representations of a surface group in a Lie group. We emphasize the various points of view (combinatoria

This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theo

Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highl

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he