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Homological densities and stability of generalized configuration spaces via factorization homology. IV

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  • UserQuoc Ho (IST Austria)
  • ClockFriday 31 May 2019, 10:00-11:00
  • HouseMR13.

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Using factorization homology, we develop a uniform and conceptual approach for treating homological stability, homological densities, and arithmetic densities of generalized configuration spaces in algebraic geometry. This categorifies and generalizes the coincidences appearing in the work of Farb—Wolfson—Wood, and in fact, provides a conceptual understanding of these coincidences. Our approach hinges on the study of homological stability of cohomological Chevalley complexes, which is of independent interest.

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