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The quotients of the congruence subgroups of braid groups

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The congruence subgroups of braid groups arise from a congruence condition on the integral Burau representation B_n → GL_{n−1}(Z). We solve a problem posed by Dan Margalit, what the image of such a congruence subgroup is in GL_{n−1}(Z). We describe also the quotients of the braid groups by their congruence subgroups in terms of symplectic congruence subgroups. This is joint work with Wade Bloomquist and Nancy Scherich.

This talk is part of the Topology talk series.

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