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Hopf algebras and Quillen's spectral sequence

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  • UserSøren Galatius (Columbia) World_link
  • ClockWednesday 06 August 2025, 15:00-16:00
  • HouseMR14.

If you have a question about this talk, please contact Oscar Randal-Williams.

Quillen defined a spectral sequence relating the homology of locally symmetric spaces to algebraic K-theory of Z and other number rings.  In joint work with Brown, Chan, and Payne (arXiv:2405.11528), we introduce a Hopf algebra structure on this spectral sequence and give applications to the cohomology of the moduli space of principally polarized abelian varieties.

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