The moduli space of (quantum) toric varieties
The moduli space of (quantum) toric varieties
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Ernesto Lupercio, Centro de Investigación y de Estudios Avanzados del I.P.N., México City
Online Talk
Zoom link: https://princeton.zoom.us/j/96282936122
Passcode: 998749
Quantum toric varieties generalize toric varieties in the same way that the quantum torus generalizes the ordinary torus. They can be thought of as non-commutative complex manifolds. Taken together, they form moduli spaces M(k,D). I will introduce these moduli spaces some of their compactifications, some of their properties, and I will ask questions about the topology of M(k,D) and its compactifications.
This is joint work with Katzarkov, Meersseman, and Versjovsky and also based on the work of Boivin.