Speaker
Yuji Odaka
(RIMS, Kyoto U.)
Description
For symplectic singularities, we reveal the presence of intrinsic canonical
(local) action of $\mathbb{H}^*$ on each of them, where $\mathbb{H}$ is the
Hamilton quaternion, though conditionally for now. Its subaction of
$\mathbb{C}^*$ satisfies a certain canonicity
("K-polystability"/hyperKähler structure) which we explain. Weaker version
was predicted by Kaledin decades ago. Joint with Y. Namikawa.
cf., arXiv:2503.15791