中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

代数拓扑讨论班

Speaker: Clover May (University of Bristol)

Inviter:  邹佛灵

Language: English

Title：Classifying modules of equivariant Eilenberg--MacLane spectra

Time&Venue：2025年10月20日(星期一）16:00-17:00 &Zoom: 6817169181 Password: 211748

Abstract：Classically, since Z/p is a field, any module over the Eilenberg—MacLane spectrum HZ/p splits as a wedge of suspensions of HZ/p itself. Equivariantly, cohomology and the module theory of G-equivariant Eilenberg--MacLane spectra are much more complicated.For any p-group and the constant Mackey functor Z/p, there are infinitely many indecomposable HZ/p-modules. Previous work together with Dugger and Hazel classified all indecomposable HZ/2-modules for the group G=C2. The isomorphism classes of indecomposables fit into just three families. By contrast, joint work with Jacob Grevstad shows for G=Cp with p an odd prime, the classification of indecomposable HZ/p-modules is wild.