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Equivariant multiplications and idempotent splittings of > G-spectra

Presented by: 
Benjamin Böhme
Tuesday 9th October 2018 - 15:30 to 16:30
INI Seminar Room 2
My PhD research concerns multiplicative phenomena in > equivariant stable homotopy theory. Equivariantly with respect to a > finite group G, there are many different notions of a commutative ring > spectrum. The idempotent summands of the genuine equivariant versions > of the sphere spectrum and the topological K-theory spectra provide > natural examples of such objects. I give a complete characterization > of the best possible equivariant commutative ring structures on these > summands. As an important step in my approach, I establish a > classification of the idempotent elements in the (p-local) > representation ring of G, which may be of independent interest.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons