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Verifying (or not) the simple loop conjecture

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Speaker: 
Ingrid Irmer
Zugehörigkeit: 
MPIM
Datum: 
Don, 2018-08-23 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The simple loop conjecture places very strong restrictions on the way a closed surface can map into a 3-manifold. Even if true, however, there are difficulties in constructing an algorithm to verify that any given map of a surface satisfies the conjecture. This has to do with the observation that certain questions about regular covers of surface groups are undecidable.

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