Tuesday, May 07, 2019
4:00 PM -
5:00 PM
Linde Hall 310
Mathematics Colloquium
Series: Mathematics Colloquium Series
The Johnson filtration is finitely generated
The Johnson filtration is an important and mysterious sequence of subgroups of the mapping class group. I will prove that each term is finitely generated once the genus is sufficiently large. The main tool is the Bieri-Neumann-Strebel invariant. No prior knowledge of the mapping class group or the BNS invariant will be assumed. This is joint work with Tom Church and Mikhail Ershov.
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