5 problems

Let $G=\{G_d,s_d,\rho_d\}_{d\in\mathbb Z_{\ge 0}}$ be a system of compact Lie groups with structure maps $s_d\colon G_d\longrightarrow G_{d+1}$ and representations…

The truncated Anderson dual conjecture. There is an equivalence of spectra

Let $K$ denote non-connective $K$-theory. Let $p$ be an odd prime, let $F$ be a number field, and let $S$ be a finite set of finite places of $F$ such that…

Freed–Hopkins' massive-fermion conjecture. On the topological level, the map assigning to $(S,\Gamma,m_*,m)$ the deformation class of the corresponding invertible theory should coi…

Let $\mathcal{S}$ be a structure type and let $(I\Omega^{\mathcal{S}})^{D+1}(X)$ denote the degree-$D+1$ cohomology group of the Anderson dual to the corresponding bordism theory,…