18–22 Dec 2023
Kavli IPMU, Kashiwa, Japan
Asia/Tokyo timezone

Explicit examples of trihedral G-Hilbert schemes

19 Dec 2023, 16:30
30m
Lecture Hall (Kavli IPMU, Kashiwa, Japan)

Lecture Hall

Kavli IPMU, Kashiwa, Japan

Kashiwa, Japan

Speaker

Alvaro Nolla de Celis (Madrid)

Description

In this talk I will show how to construct examples of G-Hilb when G is a trihedral group in SL(3,C). The calculations are based on the connection between trihedral boats and representations of the McKay quiver, allowing us to compute explicitly the exceptional locus of the crepant resolution G-Hlib C^3 \to C^3/G and Reid’s recipe for small cases.

Presentation materials