3 problems

Van Straten's exponent conjecture. The generating series of Hilbert schemes of points on a smooth surface can be considered as an exponent in the power structure over the Grothendi…

Let $B=\mathbb C\widehat{Q}'$ be the path algebra of $\widehat{Q}'$ with potential $W'$, let $A=\operatorname{Jac}(B,W')$, and let $\omega\in A$ be central. Define the partition fu…

Let $f_d:M_d(\widetilde{Q}')\to\mathbb C$ be the lifted trace-of-potential function on the representation atlas described in the paper, and let $[\phi_{f_d}]$ denote its motivic va…