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Factorization statistics and the twisted Grothendieck-Lefschetz formula

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 Added by Trevor Hyde
 Publication date 2017
  fields
and research's language is English
 Authors Trevor Hyde




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We announce recent results on a connection between factorization statistics of polynomials over a finite field and the structure of the cohomology of configurations in $mathbb{R}^3$ as a representation of the symmetric group. This connection parallels a result of Church, Ellenberg, and Farb relating factorization statistics of squarefree polynomials and the cohomology of configurations in $mathbb{R}^2$.



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