Rune Haugseng (Norwegian University of Science and Technology): Equivariant ring spectra and homotopical Tambara functors
Wednesday, 10.04.2024 14:00 im Raum M6
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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