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FIELD Math:Topology
DATE August 10 (Wed), 2022
TIME 10:00-11:30
PLACE 1423
SPEAKER Pengitore, Mark
HOST Kim, Sang-hyun
INSTITUTE University of Virginia
TITLE Residual finiteness of the mapping class group with respect to solvable covers
ABSTRACT

Hybrid : in-person and zoom ( visgat.cayley.kr )
In this talk, we will quantify residual finiteness of the mapping class group of finite type with respect to congruence quotients coming from characteristic finite index covers of the underlying surface with solvable deck group. We refer to these quoteints as congruence quotients of solvable type. In particular, we construct an infinite sequence of mapping classes where the minimal congruence quotient of solvable type that detects one of these mapping classes has size which is super polynomial in word length.

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