Mapping class group action on surface group homomorphisms classes [talk in English]

(joint work with P. Pagotto) We survey known results on the question whether two conjugacy classes of homomorphisms of a surface group onto some group $G$ are equivalent by the action of the mapping class group. We show that there exist infinitely many finite simple nonabelian groups $G$ for which there are at least two equivalence classes.

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Access code: the Euler characteristic of the wedge of two circles
(the password is not the specified phrase but the number that it determines)