Symplectic singularities play an important role in algebraic
geometry and geometric representation theory. All known examples show up
with natural C^*-actions. About 20 years ago, Kaledin conjectured that a
symplectic singularity is always conical; more precisely, it admits a
conical C^*-action where the symplectic form is homogeneous. Recently we
proved Kaledin's conjecture conditionally, but in a substantially stronger
form. The idea is to use Donaldson-Sun theory in complex differential
geometry to connect with the theory of Poisson deformations of symplectic
varieties. This is a joint work with Y. Odaka.

15:10-16:10 Talk by Prof. Narutaka Ozawa
16:10-16:45 Tea Break
16:45-17:45 Talk by Prof. Neal Bez