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Geometry and Topology Seminar

Friday, January 14, 2022
3:00pm to 4:00pm
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Smallest non-cyclic quotients of braid groups
Sudipta Kolay, ICERM, Brown University,

We will discuss a new approach to determine the minimal quotients of groups of geometric interest, primarily focussing on the Artin braid groups. There were conjectures due to Zimmermann, Mecchia-Zimmermann, and Margalit, for the cases of mapping class groups, outer automorphism groups of free groups, and braid groups respectively. The first two conjectures were proved by Kielak-Pierro, and Baumeister-Kielak-Pierro respectively, and several recent results show support for the conjecture of Margalit. We will outline these approaches, and then describe how the novel inductive orbit-stabilizer method can be used to resolve these conjectures.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://sites.google.com/site/caltechgtseminar/home.