4 problems

Let $A(n)$ be the space defined by the two-dimensional topological theory, and let $\mathscr{A}^m(n)$ be the set of surface diagrams whose connected components satisfy the genus bo…

Let $\mathrm{det}_n$ be the determinant polynomial, let $a_n$ denote the sequence used in its degree and multiplicity formulas, and let $c_n$ be the Catalan number. Zero-root deter…

Let $s\ne 0$ be an integer, and let $\alpha(s)=(\beta_0,s,0,0,\dots)$, so that the generating function is $Z_{\alpha(s)}(T)=\beta_0+sT$. For arbitrary $\beta_0$ in characteristic z…

Sharpness conjecture. There exists a symmetric monoidal bicategory $\mathcal C$ and a 2-framed 2-dimensional topological field theory