Flexibility of projective representations

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Date(s) - 22/05/2017
14 h 00 min - 15 h 00 min

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For which countable group G, does the moduli space X(G) = Out(G) \ Hom(G,PSL(2,R)) / Inn(PSL(2,R)) contain (uncountably many distinct equivalence classes of) indiscrete faithful representations? Groups with such properties are called flexible. We prove combination theorems for flexible groups, and show that most Fuchsian groups and all limit groups (possibly with torsion) are flexible. The abundance of “minimal” quasi-morphisms on those groups will follow. Joint with Thomas Koberda and Mahan Mj.


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