6 problems

Cohen's conjecture. The coefficient of $X^{2n}$ in this expansion is a cusp form of weight $2n+2$ on $\Gamma_0(4)$.

Chaudouard–Laumon rationality conjecture. The generating series satisfies

An associative operad is an operad in the associative-operad class considered in the source. Its exponential generating series records the dimensions of its components. Associative…

Let $\mathcal{P}$ be a symmetric operad generated by binary operations, and suppose its quadratic relations form a Gröbner basis for one of the admissible orderings of shuffle mono…

A symmetric PBW operad is a symmetric operad with binary generators whose quadratic relations form a Gröbner basis. Its exponential generating series is the formal power series ass…

Let ${}^{(1)}\mathbb H^{3,1}_{\mathbb C^2,0}(T)$ denote the generating series of classes of the first equivariant Hilbert schemes of fat points on $\mathbb C^2$ for the action of…