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SUMMARY:Classifying modules of equivariant Eilenberg--MacLane spectra - Cl
 over May (NTNU)
DTSTART:20240611T150000Z
DTEND:20240611T153000Z
UID:TALK217321@talks.cam.ac.uk
DESCRIPTION:Classically\, since $\\mathbb{Z}/p$ is a field\, any module ov
 er the Eilenberg&mdash\;MacLane spectrum $H\\mathbb{Z}/p$ splits as a wedg
 e of suspensions of $H\\mathbb{Z}/p$ itself.&nbsp\; Equivariantly\, cohomo
 logy and the module theory of $G$-equivariant Eilenberg--MacLane spectra a
 re much more complicated.\nFor the cyclic group $G=C_p$ and the constant M
 ackey functor $\\underline{\\mathbb{Z}}/p$\, there are infinitely many ind
 ecomposable $H\\underline{\\mathbb{Z}}/p$-modules.&nbsp\; Previous work to
 gether with Dugger and Hazel classified all indecomposable $H\\underline{\
 \mathbb{Z}}/2$-modules for the group $G=C_2$.&nbsp\; The isomorphism class
 es of indecomposables fit into just three families.&nbsp\; By contrast\, w
 e show for $G=C_p$ with $p$ an odd prime\, the classification of indecompo
 sable $H\\underline{\\mathbb{Z}}/p$-modules is wild.&nbsp\; This is joint 
 work in progress with Grevstad.
LOCATION:External
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