Topology and Geometric Group Theory Seminar

Henry Wilton University of Cambridge
On stable primitivity rank

Tuesday, September 8, 2020 - 1:30pm
Via Zoom

The commutator length of an element w of the commutator subgroup of a group G is the minimal number of commutators needed to express w as a product of commutators. A more fruitful definition is obtained by stabilising the definition, yielding the notion of *stable* commutator length.

In the context of free groups, Puder has recently introduced the notion of *primitivity rank*, which can be thought of as a homotopical version of commutator length. In this talk, I’ll propose a stable version of primitivity rank, and state some of its properties.

Introductory talk at 1:30pm by Jason Manning. Seminar talk at 2pm.