The normalization of a nilpotent orbit closure of a complex semisimple Lie algebra is a symplectic variety. Its symplectic resolution or Q-factorial terminalization has been extensively studied. In this lecture, we take a symplectic variety associated with the universal covering of a nilpotent

orbit and consider similar problems. When the Lie algebra is classical, we will give an explicit algorithm for constructing a Q-factorial terminalization of such a symplectic variety. Moreover, we can give an explicit formula how many different Q-factorial terminalizations it has.

Remark: This will be a zoom seminar.

Zoom meeting URL:

https://kyoto-u-edu.zoom.us/j/87051808960

Meeting ID: 870 5180 8960

Passcode: The order of the Weyl group of type $E_7$