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Department of Mathematics,
University of California San Diego

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Math 292 (Student speaker series)

Shangjie Zhang

UCSD

Generalization of E_infty algebras in equivariant stable homotopy

Abstract:

I will talk about $N_\infty$ operads, a generalization of $E_\infty$ operads in the equivariant world, following Blumberg-Hill. We show that the admissible sets of an $N_\infty$ operad capture the data of the norm maps of its algebra. This ties the notion of norms in the (incomplete) Tambara functors, which are the commutative algebra objects in Mackey functors.
 

Host: Zhouli Xu

May 2, 2023

3:15 PM

APM 7321

Research Areas

Geometry and Topology

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