5 problems

Let $\rho\colon G\to GL(V)$ be an irreducible representation, let $\lambda$ be a dominant weight, let $W_\lambda$ be its stabilizer in $W$, and let $m_\lambda$ be the multiplicity…

Potential-count invariance conjecture.

Evaluation-cokernel conjecture. The cokernel $\mathcal{L}$ can provide a defining relation for the spectral sheaf.

Let $f$ be the fibration defining the $G_2$-spaces $M_\theta:=f^{-1}(\theta)$, and let the spectral cover associated to $\theta$ be given. The spectral-cover conjecture. The singul…

Let $X$ be a Riemann surface and let $\phi$ be a smooth spectral cover of $X$. A universal harmonic $\phi$-map is a harmonic $\phi$-map $h^{\phi}:\widetilde X\to\mathcal B^{\phi}$…