Congruence subgroups of braid groups and crystallographic quotients

Celeste Damiani (Istituto Italiano di Tecnologia (Genova))

Monday 7th October 16:00-17:00 Maths 311B

Abstract

This talk explores the relationship between two families of groups, respectively subgroups and quotients of classical braid groups: congruence subgroups of braid groups and crystallographic braid groups, respectively introduced Arnol’d and Tits. We recall and introduce some elements belonging to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups. Joint work with P. Bellingeri, O. Ocampo, and C. Stylianakis.

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