Finiteness conjecture for spectral lifts of powers of Hogancamp's endomorphisms
For each n≥2n\geq 2n≥2, let PnP_nPn be the categorified Jones–Wenzl projector and let Un :q2nΣ2n−2Pn→PnU_n\colon \mathrm{q}^{2n}\Sigma^{2n-2}P_n\to P_nUn:q2nΣ2n−2Pn→Pn be Hogancamp's chain map. For each power UnkU_n^kUnk,…