Generalized Tits conjecture for Artin groups

Abstract:

The Tits conjecture, proved by Crisp and Paris, states that the subgroup of an Artin group generated by powers of the standard generators is the "obvious" right-angled Artin group (RAAG). We aim to generalize this: the subgroup generated by a collection of naturally distinguished elements, specifically powers of the Garside elements, is a RAAG. I will discuss our partial results, for certain families of Artin groups.

This is joint work with Kevin Schreve.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | slides )

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Geometry and topology online

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The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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