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Claudia Rüdiger

Rune Haugseng (Norwegian University of Science and Technology): Equivariant ring spectra and homotopical Tambara functors

Wednesday, 10.04.2024 14:00 im Raum M6

Mathematik und Informatik

Abstract: A Tambara functor is ring-like structure, where in addition to addition and multiplication we have both additive and multiplicative norms (or transfers) for subgroups of a given finite group G; more formally, they can be defined as certain product-preserving functors out of a (2,1)-category of bispans of finite G-sets. Tambara functors often show up as equivariant analogues of commutative rings - for example, the 0th homotopy group of a genuine commutative equivariant ring spectrum is a Tambara functor. In this talk I will discuss a description of the ?-category of connective commutative equivariant ring spectra as Tambara functors valued in ?-groupoids; this is joint work in progress with Bastiaan Cnossen, Tobias Lenz, and Sil Linskens.



Angelegt am Monday, 08.04.2024 06:13 von Claudia Rüdiger
Geändert am Monday, 08.04.2024 06:13 von Claudia Rüdiger
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