Partition functors and universal exponential relations

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• Nathaniel Stapleton (University of Kentucky)
• Tuesday 13 May 2025, 15:30-16:30
• Seminar Room 1, Newton Institute.

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EHTW03 - New horizons for equivariance in homotopy theory

Partition functors are objects in global algebra built to capture the behavior of global Mackey functors on symmetric groups. The goal is to define partition functors, describe a monad, called Div, on the category of partition functors, and then explain how partition power functors carry universal exponential relations between multiplicative and additive power operations. Known relations of this sort, such as Ganter’s relation between symmetric powers and Hecke operations for E-theory can be recovered from the universality.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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