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Marc Hoyois: Hilbert schemes in motivic homotopy theory
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29 September 2021
Abstract: Hilbert schemes of ane spaces are highly singular schemes with a complicated geometry, but they exhibit some interesting stability phenomena as the dimension of the affine space goes to infinity. I will explain a computation of the motives of these Hilbert schemes, and the relevance of their Gorenstein and local complete intersection loci in
motivic homotopy theory. This is based on joint work with Joachim Jelisiejew, Denis Nardin, Burt Totaro, and Maria Yakerson.
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Representation theory’s hidden motives
27 September – 1 October 2021
Abstract: Hilbert schemes of ane spaces are highly singular schemes with a complicated geometry, but they exhibit some interesting stability phenomena as the dimension of the affine space goes to infinity. I will explain a computation of the motives of these Hilbert schemes, and the relevance of their Gorenstein and local complete intersection loci in
motivic homotopy theory. This is based on joint work with Joachim Jelisiejew, Denis Nardin, Burt Totaro, and Maria Yakerson.
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Representation theory’s hidden motives
27 September – 1 October 2021
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