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The quotients of the congruence subgroups of braid groups

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If you have a question about this talk, please contact Oscar Randal-Williams .

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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Average on weekdays: 8974.47931034 kWh Online & Room SG1, Alison Richard Building, 7 West Road, Cambridge ATC Seminar rooms 6A&B, Addenbrooke’s (refreshments 4.30pm, talk at 5.00pm)

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