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

The E10 diagram, symmetric polytopes and Enriques surfaces

Dec 19, 2023, 10:00 AM
50m
Lecture Hall (Kavli IPMU, Kashiwa, Japan)

Lecture Hall

Kavli IPMU, Kashiwa, Japan

Kashiwa, Japan

Speaker

Shigeru Mukai (Kyoto)

Description

The affine E8 diagram parametrizes the irreducible representations of the binary icosahedral groups by McKay. The next diagram E10, or T237, parametrizes a set of symmetric polyhedra consisting of octa, dodeca, icosa and several zonohedra. This was observed in studying polarization types of Enriques surfaces. In this talk I will present type III degenerations of Enriques surfaces corresponding to such symmetric polytopes as many as possible.

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