Outer automorphisms of free Coxeter groups

Rylee Lyman (Tufts)

02-Jun-2020, 15:30-16:00 (4 years ago)

Abstract: A famous theorem of Birman and Hilden provides a close link between the mapping class group of a punctured sphere and the centraliser, in the mapping class group of a closed surface, of a hyperelliptic involution. There is a group theory analogue of this in Out(\(F_n\)), the outer automorphism group of a free group. Namely, the outer automorphism of a free Coxeter group is linked to the centraliser, in Out(\(F_n\)), of a hyperelliptic involution. In this talk we will meet the outer automorphism group of a free Coxeter group, try to understand the analogy with mapping class groups, and survey some recent results and interesting questions.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( slides )


Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

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

Organizers: Saul Schleimer*, Robert Kropholler*
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