Cellular techniques in homological stability 2: mapping class groups

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• Alexander Kupers (Harvard University)
• Tuesday 04 December 2018, 11:30-12:30
• Seminar Room 1, Newton Institute.

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HHHW04 - Manifolds

This is the second of two talks about joint work with S. Galatius and O Randal-Williams on applications higher-algebraic structures to homological stability. In it we apply the general theory to the example of mapping class groups of surfaces. After reproving Harer's stability result, I will explain how to prove the novel phenomenon of secondary homological stability; there are maps comparing the relative homology groups of the stabilization map for different genus and there are isomorphisms in a range tending to infinity with the genus.

This talk is part of the Isaac Newton Institute Seminar Series series.

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