In quest for a non-formal G_2 manifold

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• Dominic Wallis (Bath University)
• Friday 27 November 2015, 15:00-16:00
• MR13.

If you have a question about this talk, please contact Christian Lund.

Does a manifold with special holonomy have to be formal? Answering the question to the affirmative has so far eluded mathematicians (to the author’s knowledge). Thus the quest is on to find a counter example. Basics of formality and holonomy will be covered briefly. We examine the results that give us clues for where (mainly not) to look, such as Delign et al that Kähler manifolds, which are precisely those with holonomy U(n), are formal. We introduce the technology available to us to conduct a meaningful search. That is, our constructor of manifolds with holonomy G_2, the twisted connected sum; and our formality detector, the Bianchi-Massey product. We conclude with our results to date.

This talk is part of the Junior Geometry Seminar series.

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