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If knots are what you think they are, the same is true for tangles. A peculiar module is a certain invariant of 4-ended tangles that I developed in my PhD thesis as a tool for studying the local behaviour of Heegaard Floer homology for knots. I will try to explain why peculiar modules might be interesting objects to study and perhaps discuss one or two features of interest.
This talk is part of the DPMMS PhD student colloquium series.
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