4 problems

Lower-weight conjecture. The only nonzero lower weight is

Let $G$ be a semisimple group over $\mathbb{C}$, let $G^{\mathrm{sc}}$ be its simply-connected cover, and let $J^G_{G^{\mathrm{sc}}}$ be the associated regular centralizer group sc…

Let $G$ be a semisimple group over $\mathbb{C}$, let $\mathcal{M}^{\circ}_G$ be the neutral component of the affine Toda moduli space, and let $J^G_{G^{\mathrm{sc}}}$ be the associ…

Let $\Ubar$ be the geometric generic fibre in a proper flat family over a local base, and let $W_\bullet$ denote the weight filtration on $H^j(\Ubar,\Ql)$. Let … denote the logarit…