About the Seminar
In Fall 2025, we meet online only on Zoom 6817169181. Please contact the organizers for the meeting passcode. All times are in Beijing time (UTC +8).
Schedule
| Date | Speaker | Title |
|---|---|---|
| Oct 20, 4 pm | Clover May (University of Bristol) | Classifying modules of equivariant Eilenberg--MacLane spectra |
| Nov 3, 4 pm | Christian Carrick (University of Bonn) | - |
| Nov 17, 4 pm | Jack Davies (University of Wuppertal) | - |
| Dec 1, 4 pm | Kaif Hilman (University of Bonn) | - |
Clover May: Classifying modules of equivariant Eilenberg--MacLane spectra
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.
Organizers
- Guchuan Li from PKU (liguchuan@math.pku.edu.cn)
- Foling Zou from CAS (zoufoling@amss.ac.cn)
- Dezhou Li from PKU (dezhouli@pku.edu.cn)
Contact
For questions, suggestions, or to volunteer to give a talk, please contact the organizers.