### Residual finiteness growth functions of surface groups with respect to characteristic quotients

Geometry and Topology Seminar

3rd October 2023, 2:00 pm – 3:00 pm

Fry Building, 2.04

Residual finiteness growth functions of groups have attracted much interest in recent years. These are functions that roughly measure the complexity of the finite quotients needed to separate particular group elements from the identity in terms of word length. In this talk, we study the growth rate of these functions adapted to finite characteristic quotients. One potential application of this result is towards linearity of the mapping class group.

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