Hitchin moduli spaces from quivers with potential
Event details
| Date | 20.10.2015 |
| Hour | 15:15 › 17:00 |
| Speaker | Tom Sutherland, (Pavia) |
| Location | |
| Category | Conferences - Seminars |
In the first part I will describe how to associate how to associate a moduli space of solutions to Hitchin's equations on a curve with possibly irregular singularities to each mutation-equivalence class of quivers with potential arising from triangulations of a marked bordered surface. Following Bridgeland-Smith this involves studying stability conditions on the 3-Calabi-Yau triangulated category defined by the quiver with potential, as suggested by the physics works of Gaiotto-Moore-Neitzke.
In the second part I will focus on the Hitchin moduli spaces of quaternionic dimension one obtained in this way, which correspond to certain quivers whose underlying graph is the Dynkin diagram of either a finite, affine or elliptic root system. This trichotomy is reflected both in the geometry of the elliptic fibration on the moduli space of Higgs bundles and the isomonodromy flow on the moduli space of flat connections.
In the second part I will focus on the Hitchin moduli spaces of quaternionic dimension one obtained in this way, which correspond to certain quivers whose underlying graph is the Dynkin diagram of either a finite, affine or elliptic root system. This trichotomy is reflected both in the geometry of the elliptic fibration on the moduli space of Higgs bundles and the isomonodromy flow on the moduli space of flat connections.
Practical information
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- Free