May 21, 2026
Fano 4-folds from subspace quiver moduli
Algebra, Geometry and Topology Seminar
Date: May 21, 2026 |
1:15 pm –
3:15 pm
Speaker:
Pieter Belmans, Utrecht University
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
The classification of Fano 4-folds is still largely open. Whilst moduli of stable quiver representations are varieties with very special properties, it turns out that subspace quivers give rise to four interesting Fano 4-folds (2 of which appear to be new) which are rigid, have no vector fields, have high Picard rank, and have an interesting structure from an MMP perspective. The tools for studying moduli of quiver representations work particularly well for these examples, and I will describe their intricate geometry. This is joint work with Markus Reineke.
