The moduli space of (quantum) toric varieties

The moduli space of (quantum) toric varieties

Ernesto Lupercio, Centro de Investigación y de Estudios Avanzados del I.P.N., México City

Online Talk 

Zoom link:

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.