6 problems

Multiplicative Burnside conjecture.

The categories of $\mathcal{O}_a$-Mackey functors carry a symmetric monoidal $\mathcal{O}_m$-Mackey functor structure. An $\mathcal{O}_m$-commutative monoid is a commutative monoid…

External Tambara conjecture. An $(\mathcal O_a,\mathcal O_m)$-Tambara functor is an $\mathcal O_m$-commutative monoid in the symmetric monoidal $\mathcal O_m$-Mackey functor of…

Coinduction preservation conjecture. Coinduction restricts to a functor

External Hoyer–Mazur conjecture. For any compatible pair of indexing categories $(\mathcal O_a,\mathcal O_m)$, there is an equivalence of categories between $\mathcal O_m$-commutat…

Norm functor conjecture. There is a norm functor