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Contractibility of acyclic 2-complexes

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  • UserIan Leary (University of Southampton)
  • ClockFriday 22 November 2019, 13:45-14:45
  • HouseCMS, MR13.

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The existence of an algorithm to decide whether finite 2-dimensional simplicial complexes are contractible is a notorious open problem. Equivalently, can one decide whether a balanced presentation presents the trivial group? I will discuss this problem, my solution to an analogue for infinite complexes, and a connection with the Collatz conjecture.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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