3-dimensional crepant resolution and the McKay correspondence
Speaker: Yukari Ito
Time: 10:00 - 11:30, 11 September 2025
Venue: Room 507, A6, Institute of Mathematics
Online (Zoom meeting): https://us06web.zoom.us/j/88177098362?pwd=qPMMbcRjMYoR321S7oqW3MUbZHKFGa.1
Meeting ID: 881 7709 8362
Passcode: 123456
Abstract: Let G be a finite subgroup of SL(3,C). The quotient singularity C^3/G is Gorenstein and admits a crepant resolution. We will describe such a crepant resolution in terms of the McKay quiver, which is constructed from the group representations and leads to the McKay correspondence. We begin with the classical McKay correspondence in dimension two and then discuss its generalization in this talk. Part of this work is joint with K. Sato and Y. Sato.
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