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DTSTART;TZID=America/New_York:20211111T142200
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DTSTAMP:20240301T103744Z
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UID:10002893-1636640520-1636644120@cmsa.fas.harvard.edu
SUMMARY:11/11/21 Interdisciplinary Science Seminar
DESCRIPTION:Title: The Kervaire conjecture and the minimal complexity of surfaces \nAbstract: We use topological methods to solve special cases of a fundamental problem in group theory\, the Kervaire conjecture.\nThe conjecture asserts that\, for any nontrivial group G and any element w in the free product G*Z\, the quotient (G*Z)/<<w>> is still nontrivial. We interpret this as a problem of estimating the minimal complexity (in terms of Euler characteristic) of surfaces in HNN extensions. This gives a conceptually simple proof of Klyachko’s theorem that confirms the Kervaire conjecture for any G torsion-free. I will also explain new results obtained using this approach.
URL:https://cmsa.fas.harvard.edu/event/11-11-21-interdisciplinary-science-seminar/
CATEGORIES:Interdisciplinary Science Seminar
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